Polynomials

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Polynomials

• Goals
• 1. To identify a polynomial and its types
• To identify terms, coefficients
• To identify the degree of the poly

Prof. Ahlee
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Mono__________________ Bi______________________ T
ri_____________________ Poly_____________________
_
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Monomial ? Polynomials
A Polynomial is a monomial, or a sum of monomials
3x2 2x - 5
5x 3
Trinomial
Binomial
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Review What is a monomial?

• 1 term
• Number
• Variable
• Number Variable Multiplied
• Exponent (as long as the exponent is a whole
  number, no fraction, no decimal and no negative
  exponents allowed for a mono)
• No variables in the denominator
• No or - signs

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Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
y2 2y
Binomial, since it has two TERMS
terms are added, factors are multiplied
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Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
No
terms are added, factors are multiplied
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Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
YES, trinomial since it has 3 terms
Numeric factor of a term is called the
coefficient.
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Left/ Right 4 Squares Activity
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Polynomials are classified by their degrees
(exponents)

• x² 3x -5 Quadratic Ch 6 and 13
• 2x -7 Linear Ch 7

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Degree
The Degree of the term is the sum of the
exponents of the variables.
The Degree of a polynomial is the highest degree
of any term.
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Identify the degree of each term and the degree
of the polynomial.
- 63x2y3 16xy5 y4
6th deg
5th deg
4th deg
This is a 6th degree polynomial.
The Degree of a term is the sum of the exponents
of the variables.
The Degree of a polynomial is the highest degree
of any term.
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Identify the degree of each term and the degree
of the polynomial.
9x6y5 7x4y3 3xy4
7th deg
11th deg
5th deg
This is a 11th degree polynomial.
The Degree of a term is the sum of the exponents
of the variables.
The Degree of a polynomial is the highest degree
of any term.
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9x6y5 7x4y3 3xy4

• Leading term is the term that has the highest
  degree in the poly
• Ex 9x6y5
• Leading coefficient is the coefficient of the
  leading term.
• Ex 9