10'1 Adding and Subtracting Polynomials

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10.1 Adding and Subtracting Polynomials

• Goal Add and subtract polynomials

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Monomial -
A single term. A group of numbers
and/or variables tied together by multiplication
or division but separated by addition or
subtraction. If present, the exponent must be a
whole number.
single
Examples
Coefficient - The number preceding a variable in
a variable term.
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Degree of a Monomial

• Its the sum of the exponents, per term, of the
  variables in the monomial.

Examples
Degree is 3.
Degree is 5.
Degree is 1.
Degree is 0.
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Polynomial -
A variable expression consisting of many
terms that cant be combined.
many
Examples
Standard Form
Binomials
(two-term polynomials)
Trinomials
(three-term polynomials)
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Identifying Polynomials
Degree is 0
Degree is 2
Degree is 3
Degree is 1
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Like Terms
Unlike Terms
When simplifying a polynomial, you can only
combine like terms
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Add the following polynomials.
1)
2)
3)
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Subtract the following polynomials.
1)
2)
3)
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Subtract the following polynomials.
4)
5)
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A
B
C
Find the length of in terms of x.
1)


2)

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A
B
C
Find the length of in terms of x.
1)

2)

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Find the area of quadrilateral ABCD in terms of
x.
A
B

C
D
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Find the area of if the area
of rectangle LMNO is .
L
M
P
O
N