Question

how can you tell if a binomial divides evenly into a polynomial ?

Answer 1

if they both zero out with the same x value

Answer 2

if (x-a) divides a poly P(x); then when x=a, a-a = 0, and P(a)=0

Answer 3

Just do the long division as usual :)
If you don't wanna do the long division, here are the steps: (Let your binomial be a+2b)
1.Let the binomial be equal to zero. (e.g. a+2b=0)
2.Make one of the variables the subject. (e.g.a=-2b)
3.Substitute this to the polynomial. (e.g. a^2+ab-2b^2=>(-2b)^2+(-2b)b-2b^2)
4.Watch amazingly as the expression becomes zero. (e.g. (-2b)^2+(-2b)b-2b^2=4b^2-2b^2-2b^2=0)
5.Aha! Problem solved!

Answer 4

WELCOME TO OPEN STUDY! :D

Answer 5

thanks :)