Question

Find the value of k if x-7 is a factor of p(x)=x²+x+k​

Answer 1

Step-by-step explanation:

$p(x) = x {}^{2} + x + k \\ x - 7 = 0 \\ x = 7 \\ putting \: the \: value \: of \: x \\ p(7) = 7 {}^{2} + 7 + k \\ = 49 + 7 + k \\ \: 56 + k = 0 \\ k = - 56 \\ pls \: mark \: it \: as \: a \: brainliest$