Classifying Polynomials

Learning Target(s):

• I can classify polynomials. 

Success Criteria:

•  I can find the degrees of monomials and polynomials

• I can write polynomials in standard form.

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Classifying Polynomials

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the sum of the exponents of the variables in the monomial. The degree of a nonzero constant term is 0. The constant 0 does not have a degree.

Degree of a Monomial

a number, a variable, or the product of a number and one or more variables with whole number exponents.

Monomial

Degree of Monomials

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What is a Monomial?

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Find the degree of 2x

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What is the degree if this monomial?

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What is the degree of this monomial?

a monomial or a sum of monomials. Each monomial is called a term of the polynomial. A polynomial with two terms is a binomial. A polynomial with three terms is a trinomial.

Definition

Polynomials

The greatest degree of its terms

Definition

Degree of a Polynomial

A polynomial in one variable is in standard form when the exponents of the terms decrease from left to right. When you write a polynomial in standard form, the coefficient of the first term is the leading coefficient.

Definition

Polynomial Standard Form

Multiple Choice

Which answer is the given polynomial written in standard form?

• -4h^3-5h-2

• -2-5h-4h^3

• -4h^3-2-5h

• 4h^3-2-5h

Poll

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