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Find the value of k if y - 1

Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6

A.

-6

B.

-4

C.

0

D.

1

View answer & explanation

Correct answer is D

if y - 1 is a factor of y3 + 4y2 + ky - 6, then

f(1) = (1)3 + 4(1)2 + k(1) - 6 = 0 (factor theorem)

1 + 4 + k - 6 = 0

5 - 6 + k = 0

-1 + k = 0

k = 1

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