Question

For what value of k, is – 3 a zero of the polynomial x² + 11x + k?

Answer 1

||✪✪ QUESTION ✪✪||

For what value of k, is – 3 a zero of the polynomial x² + 11x + k ?

|| ✰✰ ANSWER ✰✰ ||

Concept used :--- Let p(x) be any polynomial of degree greater than or equal to one and let ‘a’ be any real number. If p(x) is divided by the linear polynomial (x – a), then the remainder is p(a).

So, we can say that , (x +3) is a factor of given polynomial , and our remainder will be Zero.

→ f(x) = x² + 11x + k = 0

→ f(-3) = (-3)² + 11(-3) + k = 0

→ 9 - 33 + k = 0

→ k = 24.

Hence, value of k will be 24.

Answer 2

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