Question

if x+k is a factor of x^3+kx^2-20+k+4 find k
$if \: x + k \: is \: a \: factor \: of \: {x}^{3} + k {x}^{2} - 20 + k + 4 \: find \: k$
​

Answer 1

Answer:

answer for the given problem is given

Answer 2

$x + k = 0$

$x = -k$

__________

$p(x) => x^3 + kx^2 + k - 16 = 0$

$p(-k) => (-k)^3 +k×(-k)^2 + k - 16 = 0$

$=> -k^3 + k^3 + k - 16 = 0$

$=> k - 16 = 0$

$=> k = 16$ ..ans...