3.2a Multiply a monomial and a polynomial

A-APR.6 Rewrite simple rational expressions in different forms; write a(x) ⁄ b(x) in the form q(x) + r(x) ⁄ b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

A-APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

add the exponents! Simplify: 5(7n - 2) Use the distributive property. 5 7n 35n - 10 Review: When multiplying variables,

2) Simplify: 6a 2 + 9a 3) Simplify: 6rs(r 2 s - 3) 6rs r 2 s 6r 3 s rs + 6rs -3

4) Simplify: 4t 2 (3t 2 + 2t - 5) 12t 4 5) Simplify: - 4m 3 (-3m - 6n + 4p) 12m 4 + 8t t m 3 n- 16m 3 p

boards: Simplify 4y(3y 2 – 1) 1.7y 2 – y 2 – y 3 – y 3 – 4y

Simplify -3x 2 y 3 (y 2 – x 2 + 2xy) 1.-3x 2 y 5 + 3x 4 y 3 – 6x 3 y x 2 y 6 + 3x 4 y 3 – 6x 2 y x 2 y 5 + 3x 4 y 3 – 6x 2 y 3 4.3x 2 y 5 – 3x 4 y 3 + 6x 3 y 4

Application “test” worksheet