MathematicsFor what value of k, -3 is a zero of the polynomial x 2 +11x+k?

For what value of k, -3 is a zero of the polynomial $x 2 + 11 x + k ?$

Given that, -3 is a zero of the polynomial

x 2 + 11 x + k

.
We have to find the value of k.
If

x = - 3

is a zero of polynomial, then substituting

x

with

- 3

will make the polynomial equal to

0

.
We therefore equate the equation to

0

after substituting

x = - 3

{(- 3)}^{2} + 11 \times (- 3) + k = 0

\Rightarrow 9 - 33 + k = 0

\Rightarrow k = 24

Hence, for

k = 24

x = - 3

is a zero of the given equation.
Therefore, the correct option is 1.

JEE