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

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) (Show Source): You can put this solution on YOUR website!
No.
If you sub 3 for x, p(3) <> 0

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