Question

If –4 is a zero of the polynomial x² – x – (2k + 2) is –4, then find the value of k.

Answer 1

Given: x = –4 is one zero of the polynomial x² – x – (2k + 2)

Therefore, it will satisfy the above polynomial.

Now, we have 

(–4)² – (–4) – (2k + 2) = 0

⇒ 16 + 4 – 2k – 2 = 0

⇒ 2k = –18

⇒ k = 9