Question

If x+2 is a factor of P(x) = 2x3 +7x2 +kx +2, what is the value of k?

Answer 1

Answer:

k=7

Step-by-step explanation:

x+2=0

x=-2.

P(x)=2x^3+7x^2+kx+2

P(-2)=2(-2)^3+7(-2)^2+k(-2)+2

2×-8+7×4-2k+2=0

-16+28+2=2k

14=2k

14/2=k

k=7

Answer 2

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