Question

Find the value of k,if x-1 is a factor of p(x)
$p(x) = {x}^{2} + x + k$
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Answer 1

Answer:

$p(x) = x {}^{2} + x + k \\ x - 1 = 0 \\ x = 1 \\ p(1) = 1 {}^{2} + 1 + k = 0\\ 2 + k = 0 \\ k = - 2$