Find the value of k,such that (x(3)is a factor of polynomial p(x)=kx³ – InterviewSolution

1.

Find the value of k,such that (x(3)is a factor of polynomial p(x)=kx³+x²-22x-21

Answer»

$k = - 2$

Step-by-step EXPLANATION:

$x + 3 \\ x = - 3 \\ f(x) = kx 3 + x2 - 22x - 21 \\ = - 27x + 9 + 66 - 21 \\ = - 27k + 54 \\ 54 - 27k = 0 \\ \\ k = - 2$

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