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If (x+2) is a factor of 3x^2+14x+k, what is the value of k?

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If (x+2) is a factor of 3x^2+14x+k, the equation must equal zero when x=-2 so:

3(-2)^2+14(-2)+k=0

12-28+k=0

-16+k=0

k=16
User Tudor Zgureanu
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