Question

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Answer 1

a binomial is a factor if there is no remainder....

e.g. is (x+1) a factor of P(x) = x^2 + 3x + 2

use the remainder theorem to check

x + 1 = 0 so x = -1

find P(-1) = (-1)^2 +3(-1) + 2
= 0

so (x + 1) is a factor

Answer 2

after dividing, if you get a remainder of 0, then it is a perfect factor

for dividing binomials, you can use synthetic division
EX: (2x^3 -3x^2-x-2)/(x-2)

2 | 2 -3 -1 -2
4 2 2
-----------------
2 1 1 0

0 is remainder, so its a factor

Answer 3

oh yeah...remainder theorem :|

Answer 4

thanks for helping me you guys.