SOLUTION: Use the Factor Theorem to determine whether p(x)=2x^4-5x^3-5x^2+18 is a factor of x-3. It says the answer should be in this form. I don't know how to use the Factor Theorem for thi

Algebra ->  Real-numbers -> SOLUTION: Use the Factor Theorem to determine whether p(x)=2x^4-5x^3-5x^2+18 is a factor of x-3. It says the answer should be in this form. I don't know how to use the Factor Theorem for thi      Log On


   

Question 674214: Use the Factor Theorem to determine whether p(x)=2x^4-5x^3-5x^2+18 is a factor of x-3. It says the answer should be in this form. I don't know how to use the Factor Theorem for this question.
P(__) = __________
Please help!! :) Thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

So... (x-3) is a factor of p(x)=2x^4-5x^3-5x^2+18 || IF p(3) = 0

p(x) = 2x^4-5x^3-5x^2+18



Yes.  (x-3) is a factor of p(x) = 2x^4-5x^3-5x^2+18