SOLUTION: Show that x-1, either is or is not a factor of P(x)=2x^4 + 3x^3 - 12x^2 - 7x +6. Please show me your work so that I can see how the problem was solved. thank you

Question 887437: Show that x-1, either is or is not a factor of P(x)=2x^4 + 3x^3 - 12x^2 - 7x +6.
Please show me your work so that I can see how the problem was solved.
thank you
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Use the remainder theorem: x - k is a factor of the polynomial P(x) if P(k) = 0. Otherwise, P(k) becomes the remainder when P(x) is divide by x - k.
Proceeding thus, P(1) = 2 + 3 - 12 - 7 +6 = -8
Hence, x - 1 is NOT a factor of .
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