1. 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

2. 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.

3. 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

4. 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

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

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

7. 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.