5.5 Polynomials Goals: To identify terms, coefficients, and factors of a term. To simplify a poly by collecting like terms To identify the degree of the.

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5.5 Polynomials Goals: To identify terms, coefficients, and factors of a term. To simplify a poly by collecting like terms To identify the degree of the poly

YES, trinomial since it has 3 terms 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.

To simplify by collecting “like terms” “like terms” have the same exact variables to the same exact power. Only the coefficients may be different. 7m2 – 2m2 = (7 – 2)m2 = 5m2

To simplify by collecting “like terms” “like terms” have the same exact variables to the same exact power. Only the coefficients may be different. 3x5y4 – 6y4 – x5y4 + 2y4 +(– 6 + 2) y4 = (3 – 1)x5y4 = 2x5y4 - 4y4

Simplify by collecting like terms: 2m4 – 4m3 + 3m3 – 1 2m4 – m3 – 1

Simplify by collecting like terms: 3m5 – 3m2 + m – 1 (no like terms)

Simplify by collecting like terms: 3x5y4 – 6y4 + m3 – x5y4 2x5y4 – 6y4 + m3 9th deg 3rd deg 4th deg The Degree of a term is the sum of the exponents of the variables.