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

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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)   (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
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