Question

For what value of k,( -4) is a zero of the polynomial x^- x-(2k+2)?​

Answer 1

$\brown\boxed{Question}$

$\brown\bf{For\:what\:value\:of\:k,,-4\:will\:be\:a\:zero\:of\:the\:polynomial\:x^2-x-(2k+2)?}$

$\maroon\boxed{Solution}$

If -4 is a zero of polynomial   x² - x - (2 k +2)

then,

on putting x = - 4 the polynomial should become equal to zero

so,

(- 4)² - (- 4 ) - (2 k +2)= 0

16 + 4 - 2 k - 2 = 0

18 - 2 k = 0

- 2 k= - 18

2 k = 18

k = 18 / 2

k = 9

$\pink{hence\:the\:value\:of\:k\:is\:9}$