Question

Find the value of k if X + 1 is a factor of x^3 + kx^2 + 2k - 2.​

Answer 1

Answer:

$\huge\mathcal{\fcolorbox{purple}{pink}{answer = 1}}$

$g(x) = x + 1$

$\: \: \: \: \: x = - 1$

$g(x) = - 1$

$p(x) = {x}^{3} + k {x}^{2} + 2k - 2$

$p( - 1) = {( - 1)}^{3} + k { (- 1)}^{2} + 2k - 2$

$p( - 1) = - 1 + k + 2k - 2$

$p( - 1) = - 3 + 3k = 0$

$=> 3k = 3$

$=> k = 1$

$<marquee>................................................................</marquee>$

$\mathcal{\fcolorbox{purple}{yellow}{hope \: it \: help \: you}}$