SOLUTION: If the polynomial Q(x) = x^2+ax+1 is a factor of the polynomial P(x) = 2x^3 -16x+b, find the possible values of a and b. Thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If the polynomial Q(x) = x^2+ax+1 is a factor of the polynomial P(x) = 2x^3 -16x+b, find the possible values of a and b. Thanks      Log On


   

Question 1031736: If the polynomial Q(x) = x^2+ax+1 is a factor of the polynomial P(x) = 2x^3 -16x+b, find the possible values of a and b.
Thanks
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The remainder must be 0 if Q is a factor of P. Work through the polynomial long division process, as messy as may be, and use the remainder equal to zero concept for factors quotient and Q(x).