Polynomials

Multiply the polynomials (7y– 7) and (2y^2 – y + 6). Simplify the answer. Show your work.

First mutliply them:

(7y-7) * (2y^2-y+6)

(Multiply the 7y with the 3 terms in the other brackets)

Then -7 * the same 3 terms in the other brackets (Order..) 

We get: 

14y^3-7y^2+42y-14y^2+7y-42

Lets combine like terms (Simpilfy)

we get:

14y^3 - 21y^2 + 49y - 42

Well we can factor this into:

7(2y^3-3y^2+7y-6)