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

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

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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) (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).
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