16. If x + 6 is a factor of p(x) = x + 3x² + 4x + k, find the value of k.
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Step-by-step explanation:
x + 6 = 0
x = -6
(-6) + 3(-6)² + 4(-6) + k = 0
-6 + 3*36 - 24 + k = 0
k + 108 - 30 = 0
k + 78 = 0
k = -78
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