SOLUTION: The cubic polynomial f(x) is such that the coefficient of x^3 is -1 and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x) has a remainder of 8 when divided by x �

Question 695861: The cubic polynomial f(x) is such that the coefficient of x^3 is -1 and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x) has a remainder of 8 when divided by x � 3, find
(a) the value of k,
(b) the remainder when f(x) is divided by x+3.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The factoring of such a cubic polynomial would be

so that each factor would be zero for each of the roots of .

The remainder of when divided by is
--> --> --> --> -->
and

The remainder of when divided by is

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