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Question
If -4 is a zero of the polynomial `x^2 – 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 `x^2 – 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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