find the value of k if X + K is a factor of the polynomial x cube +k x square - 2 X + K + 5
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Answer:
X + K = 0
X = - K
p(-K) = x³ + k x² - 2x + k + 5
p(- K ) = (-k)³ + k (-k)² - 2 (-k) + k + 5
0 = -k³ + k³ + 2 k + k + 5
0 = 3k + 5
-5 = 3k
-5/3 = k
:. k = -5/3
Hope this helps you
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