Question

Find the value of k, if x - 1 is factor of p(x) = x² + x + k​

Answer 1

Answer:

Hi

$x - 1 \: is \: a \: factor \\ \implies \: x - 1 = 0 \\ \therefore \: x = 1$

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

$p(1) \: i s \: a \: factor \\ \implies \: 2 + k = 0 \\ \therefore \: k \: = - 2$

Hope it helps you

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