Answer:

When one zero of a polynomial p(x) is known, it can be used to find the value of the constant term, k.

Given that one zero of the polynomial p(x) = x² + 11x + k is -3, we can use this zero to find the value of k.

A polynomial p(x) = ax² + bx + c has the zero -3 if and only if p(-3) = 0

so,

p(-3) = (-3)² + 11*(-3) + k = 9 - 33 + k = -24 + k = 0

so k = 24

Therefore the value of k is 24. So the answer is b) 24

Answer:

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Step-by-step explanation:

Given equation :- x² + 11x + k

It is given that -3 is the zeros of the given Equation !!

So, if we put the value of x as -3 we get Zero as resultant.

=>

x² + 11x + k = 0

( - 3 )² + 11 × ( - 3 ) + k = 0

9 - 33 + k = 0

- 24 + k = 0

k = 24 !!

So , the value of k as 24 will give

x = ( - 3 )