For what value of k, −4 is a zero of the polynomialx2 − x − (2k + 2).
Question
For what value of k, −4 is a zero of the polynomialx2 − x − (2k + 2).
Solution
To find the value of k for which -4 is a zero of the polynomial x² - x - (2k + 2), we substitute x = -4 into the polynomial and set it equal to zero.
So, (-4)² - (-4) - (2k + 2) = 0
Solving this equation gives:
16 + 4 - 2k - 2 = 0
18 - 2k = 0
Subtract 18 from both sides:
-2k = -18
Divide both sides by -2:
k = 9
So, for k = 9, -4 is a zero of the polynomial x² - x - (2k + 2).
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