lf a-1 is factor of $a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + 4 a + k$ then $k =$

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-4

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-2

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Solution

The correct option is C -4
given $f (a) = a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + 4 a + k$
given that $a - 1$ is a factor of
$f (a)$
So, $f (1) = 0$ by remainder theorem
$f (1) = 4 + k = 0$
$k = - 4$

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