Question

For what value of k, (–4) is a zero of the polynomial x² – x – (2k + 2)?

Answer 1

Answer:

The value of k is 9.

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Answer 2

Hey friend!

$\large{ \green{ \boxed{ \bold{ \red{ \: Here \ is \ your \ answer :}}}}}$

Given,

→ A polynomial, p(x) = x² - x - (2k + 2)

To find the value of k if we take (-4) as a zero of p(x)

We know that if a is a zero of p(x), then p(a) = 0

Then,

p( -4) = 0

⇒ ( -4)² - ( -4) - (2k + 2) = 0

⇒ 16 + 4 - 2k - 2 = 0

⇒ 18 - 2k = 0

⇒ 2k = 18

⇒ k = 9

Answer : k = 9

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