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