SOLUTION: Is (x-3) a factor of p(x)=x^4-5x^2-27x+15?

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Question 429997: Is (x-3) a factor of p(x)=x^4-5x^2-27x+15?
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
No.
If you sub 3 for x, p(3) <> 0

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

p(3)=x^4-5x^2-27x+15 = 81-45-81+15 = -30    (x-3) is NOT a factor