Question

for what value of k -4 is the Zero of the polynomial x square minus 2 x minus 2k + 2

Answer 1

Given polynomial,
x²-2x-2k+2

-4 is the zero of the polynomial.

p(-4)=(-4)²-2(-4)-2k+2=0

-2k+8+2+16=0

-2k+26=0

-2k=-26

k= -26/-2

k=13

Therefore,the value of k is 13

Hope it helps

Answer 2

A/q     if
               p(x) = x² -2x - 2k +2

               p(-4) = 0

             ⇒ (-4)² - 2(-4) -2k +2 = 0
             ⇒  16 + 8 - 2k + 2 = 26 - 2k = 0  ⇒  k = 13

if  your    p(x) = x² - 2x - (2k + 2 ) ⇒ x² - 2x - 2k - 2

             p(-4) = (-4)² - 2(-4) -2k - 2 = 16 + 8 - 2k - 2 ⇒ 22 - 2k = 0 ⇒ k= 11

so ans is either 13 or 11 as per question ............doubt... ask?