CLASSIFYING POLYNOMIALS

1
CLASSIFYING POLYNOMIALS

• by
• GLORIA KENT

2
Todays Objectives

• Classify a polynomial by its degree.
• Classify a polynomial by its number of terms
• Name a polynomial by its first and last
  names determined by its degree and number of
  terms.

3
Degree of a Polynomial
The degree of a polynomial is calculated by
finding the largest exponent in the polynomial.
(Learned in previous lesson on Writing
Polynomials in Standard Form)
4
Degree of a Polynomial(Each degree has a special
name)
9






5
Degree of a Polynomial(Each degree has a special
name)
9 No variable






6
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant






7
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x





8
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree





9
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear





10
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x




11
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree




12
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic




13
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x



14
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree



15
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic



16
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1


17
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree


18
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic


19
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3

20
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3 5th degree

21
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3 5th degree Quintic

22
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3 5th degree Quintic
5xn
23
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3 5th degree Quintic
5xn nth degree
24
Degree of a Polynomial(Each degree has a special
name)
9 No variable Constant
8x 1st degree Linear
7x2 3x 2nd degree Quadratic
6x3 2x 3rd degree Cubic
3x4 5x 1 4th degree Quartic
2x5 7x3 5th degree Quintic
5xn nth degree nth degree
25
Lets practice classifying polynomials by
degree.

• POLYNOMIAL
• 3z4 5z3 7
• 15a 25
• 185
• 2c10 7c6 4c3 - 9
• 2f3 7f2 1
• 15y2
• 9g4 3g 5
• 10r5 7r
• 16n7 6n4 3n2

• DEGREE NAME
• Quartic
• Linear
• Constant
• Tenth degree
• Cubic
• Quadratic
• Quartic
• Quintic
• Seventh degree

The degree name becomes the first name of the
polynomial.
26
Naming Polynomials (by number of terms)




27
Naming Polynomials (by number of terms)
One term



28
Naming Polynomials (by number of terms)
One term Monomial



29
Naming Polynomials (by number of terms)
One term Monomial



30
Naming Polynomials (by number of terms)
One term Monomial
Two terms


31
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial


32
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial


33
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms

34
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial

35
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial

36
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial
Four (or more) terms
37
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial
Four (or more) terms Polynomial with 4 (or more) terms
38
Classifying (or Naming) a Polynomial by Number of
Terms
25





39
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term





40
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial





41
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h




42
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term




43
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial




44
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7



45
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms



46
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial



47
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12


48
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms


49
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial


50
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8

51
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8 4 (or more) terms

52
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8 4 (or more) terms Polynomial with 4 terms

53
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8 4 (or more) terms Polynomial with 4 terms
8j7 3j5 2j4 - j2 - 6j 7
54
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8 4 (or more) terms Polynomial with 4 terms
8j7 3j5 2j4 - j2 - 6j 7 6 terms
55
Classifying (or Naming) a Polynomial by Number of
Terms
25 1 term Monomial
15h 1 term Monomial
25h3 7 2 terms Binomial
3t7 4t6 12 3 terms Trinomial
4b10 2b8 7b6 - 8 4 (or more) terms Polynomial with 4 terms
8j7 3j5 2j4 - j2 - 6j 7 6 terms Polynomial with 6 terms
The term name becomes the last name of a
polynomial.
56
Lets practice classifying a polynomial by
number of terms.

• Polynomial
• 15x
• 2e8 3e7 3e 7
• 6c 5
• 3y7 4y5 8y3
• 64
• 2p8 4p6 9p4 3p 1
• 25h3 15h2 18
• 55c19 35

• Classify by of Terms
• Monomial
• Polynomial with 4 terms
• Binomial
• Trinomial
• Monomial
• Polynomial with 5 terms
• Trinomial
• Binomial

57
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2
2x
2x 7
5b2
58
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant)
2x
2x 7
5b2
59
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial)
2x
2x 7
5b2
60
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x
2x 7
5b2
61
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear)
2x 7
5b2
62
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial)
2x 7
5b2
63
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7
5b2
64
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear)
5b2
65
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear) 2 terms (binomial)
5b2
66
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear) 2 terms (binomial) Linear Binomial
5b2
67
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear) 2 terms (binomial) Linear Binomial
5b2 2nd degree (quadratic)
68
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear) 2 terms (binomial) Linear Binomial
5b2 2nd degree (quadratic) 1 term (monomial)
69
Naming/Classifying Polynomials by Degree (1st
name) and Number of Terms (last name)
Polynomial Degree of Terms Full Name
2 No degree (constant) 1 term (monomial) Constant Monomial
2x 1st degree (Linear) 1 term (monomial) Linear Monomial
2x 7 1st degree (linear) 2 terms (binomial) Linear Binomial
5b2 2nd degree (quadratic) 1 term (monomial) Quadratic Monomial
70
. . .more polynomials. . .
5b2 2
5b2 3b 2
3f3
2f3 7
7f3 2f2 f
9k4
71
. . .more polynomials. . .
5b2 2 2nd degree (quadratic)
5b2 3b 2
3f3
2f3 7
7f3 2f2 f
9k4
72
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial)
5b2 3b 2
3f3
2f3 7
7f3 2f2 f
9k4
73
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2
3f3
2f3 7
7f3 2f2 f
9k4
74
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic)
3f3
2f3 7
7f3 2f2 f
9k4
75
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial)
3f3
2f3 7
7f3 2f2 f
9k4
76
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3
2f3 7
7f3 2f2 f
9k4
77
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic)
2f3 7
7f3 2f2 f
9k4
78
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial)
2f3 7
7f3 2f2 f
9k4
79
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7
7f3 2f2 f
9k4
80
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic)
7f3 2f2 f
9k4
81
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial)
7f3 2f2 f
9k4
82
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f
9k4
83
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic)
9k4
84
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic) 3 terms (trinomial)
9k4
85
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic) 3 terms (trinomial) Cubic Trinomial
9k4
86
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic) 3 terms (trinomial) Cubic Trinomial
9k4 4th degree (quartic)
87
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic) 3 terms (trinomial) Cubic Trinomial
9k4 4th degree (quartic) 1 term (monomial)
88
. . .more polynomials. . .
5b2 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial
5b2 3b 2 2nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial
3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial
2f3 7 3rd degree (cubic) 2 terms (binomial) Cubic Binomial
7f3 2f2 f 3rd degree (cubic) 3 terms (trinomial) Cubic Trinomial
9k4 4th degree (quartic) 1 term (monomial) Quartic Monomial
89
. . .more polynomials. . .
9k4 3k2
9k4 3k2 2
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
90
. . .more polynomials. . .
9k4 3k2 4th degree (quartic)
9k4 3k2 2
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
91
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial)
9k4 3k2 2
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
92
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
93
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic)
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
94
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial)
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
95
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
96
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic)
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
97
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial)
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
98
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v
f5 2f4 f2
j7 - 2j5 7j3 - 8
99
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic)
f5 2f4 f2
j7 - 2j5 7j3 - 8
100
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial)
f5 2f4 f2
j7 - 2j5 7j3 - 8
101
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2
j7 - 2j5 7j3 - 8
102
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic)
j7 - 2j5 7j3 - 8
103
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic) 3 terms (trinomial)
j7 - 2j5 7j3 - 8
104
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial
j7 - 2j5 7j3 - 8
105
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial
j7 - 2j5 7j3 - 8 7th degree (7th degree)
106
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial
j7 - 2j5 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms)
107
. . .more polynomials. . .
9k4 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial
9k4 3k2 2 4th degree (quartic) 3 terms (trinomial) Quartic Trinomial
v5 5th degree (quintic) 1 term (monomial) Quintic Monomial
v5 7v 5th degree (quintic) 2 terms (binomial) Quintic Binomial
f5 2f4 f2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial
j7 - 2j5 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms) 7th degree polynomial with 4 terms
108
Can you name them now? Give it a try. . . copy
and classify (2 columns)

• POLYNOMIAL
• 5x2 2x 3
• 2z 5
• 7a3 4a 12
• -15
• 27x8 3x5 7x 4
• 9x4 3
• 10x 185
• 18x5

• CLASSIFICATION / NAME
• Quadratic Trinomial
• Linear Binomial
• Cubic Trinomial
• Constant Monomial
• 8th Degree Polynomial with 4 terms.
• Quartic Binomial
• Linear Binomial
• Quintic Monomial

109
. . .more practice. . .

1. 19z25
2. 6n7 3n5 4n
3. 189
4. 15g5 3g4 3g 7
5. 3x9 12
6. 6z3 2z2 4z 7
7. 9c
8. 15b2 b 51

1. 25th degree Monomial
2. 7th degree Trinomial
3. Constant Monomial
4. Quintic polynomial with 4 terms
5. 9th degree Binomial
6. Cubic polynomial with 4 terms.
7. Linear Monomial
8. Quadratic Trinomial

110
Create-A-Polynomial Activity

• You will need one sheet of paper, a pencil, and
  your notes on Classifying Polynomials.
• You will be given the names of some polynomials.
  YOU must create a correct matching example, but
  REMEMBER
• Answers must be in standard form.
• Each problem can only use one variable throughout
  the problem (see examples in notes from
  powerpoint).
• All variable powers in each example must have
  DIFFERENT exponents (again, see examples in
  notes from powerpoint).
• There can only be one constant in each problem.
• You will need two columns on your paper.
• Left column title Polynomial Name
• Right column title Polynomial in Standard Form.

111
Create - A Polynomial Activity Copy each
polynomial name. Create your own polynomial to
match ( 2 columns). Partner/Independent work
(pairs).

1. 6th degree polynomial with 4 terms.
2. Linear Monomial
3. Quadratic Trinomial
4. Constant Monomial
5. Cubic Binomial
6. Quartic Monomial
7. Quintic polynomial with 5 terms.
8. Linear Binomial

1. Cubic Trinomial
2. Quadratic Binomial
3. Quintic Trinomial
4. Constant Monomial
5. Cubic Monomial
6. 10th degree polynomial with 6 terms
7. 8th degree Binomial
8. 20th degree Trinomial