Question

If the polynomial f(x)=ax³+bx-c is divisible by the polynomial g(x)=x²+bx+c, find c.
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Answer 1

Answer:

If the polynomial ax3 + bx - c is divisible by x2 + bx + c then value of ab is 1.

Answer 2

If the polynomial ax3 + bx - c is divisible by x2 + bx + c then value of ab is 1. As ax3 + bx - c is divisible by x2 + bx +c, then the remainder is 0. Explanation: The remainder when ax3 + bx - c is divided by x2 + bx +c is 0.