Question

True or false: y - 3 is a factor of P(y) = 2y^3 - 11y^2 +12y + 9

Answer 1

USE FACTOR THEOREM

Answer 2

(x-a) is a factor of polynomial P(x) if P(a)=0

Answer 3

I got that part, what is next?

Answer 4

Now, find P(3)

Answer 5

yes (y-3) is it's factor
just divide it by factor
2y^3-11y^2+12y+9=(y-3)(2y^2-5y-3)