Question

If -4 is the 0 of polynomial P(x)=x^2+11x+k then calculate the value of k

Answer 1

Given equation

$x^{2} +11x+k=0$

-4 is the zero of the polynomial

$(-4)^{2} + 11(-4) + k = 0\\\implies 16 -44+k=0\\\implies -28 + k = 0\\\implies k = 28$

$\boxed{\boxed{\bold{Therefore, \ the \ value \ of \ k \ is \ -28}}}}$

                                                       

Answer 2

$p(x) = {x}^{2} + 11x + k \\ \\ = > p(0) = k = - 4$