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Factor Theorem

Find the valu...

Question

Find the value of k if y+4 is a factor of 3y²+ky+6

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Solution

If y+4 is the factor
y = -4
then, 3 x (-4)² + k (-4) + 6 = 0
3 x 16 + (-4k) + 6 = 0
48 - 3k + 6 = 0
54 = 4k
4k = 54
k = 13.5.

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