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Question
If – 4 is a zero of the polynomial x2 – x – (2k + 2), then k = ______.
Fill in the Blanks
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Solution
If – 4 is a zero of the polynomial x2 – x – (2k + 2), then k = 9.
Explanation:
Plug x = –4 into the polynomial and set equal to zero:
(–4)2 – (–4) – (2k + 2) = 0
16 + 4 – 2k – 2 = 0
⇒ 18 – 2k = 0
⇒ 2k = 18
⇒ k = 9
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