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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



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) About Me  (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 P%28x%29=2x%5E4+%2B+3x%5E3+-+12x%5E2+-+7x+%2B6.