Question

Find the value of k, if x + k is factor of the polynomial p(x):

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

Answer 1

HEY FRIEND.......!!!!
ANSWER: k=3
HERE IS YOUR SOLUTION...!!!
$as \: x + k \: is \: a\: factor \: of \: p(x) \\ so \: p(x + k) \: = 0 \\ = > x + k = 0 \\ = > x = - k \\ now \: substitute \: this \: in \: the \: equation$
$= > ( { - k)}^{3} - ( {k}^{2} - 1)( - k) + 3 = 0$
$= > - {k}^{3 } + {k}^{3} - k + 3 = 0 \\ = > 0 - k + 3 = 0 \\ = > k = 3$
I HOPE IT HELPS...!!!

Answer 2

it will be helpful for you