Question

For what value of k, is -2 a zero of the polynomial 3x²+4x+2k?

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Answer 1

Answer:

k = -2

Step-by-step explanation:

$3(-2)^{2} +4(-2)+2k=0\\12-8+2k=0\\4+2k=0\\2k=-4\\k=-2$

Answer 2

Answer:

K= -2

Step-by-step explanation:

Let the polynomial be written as p(x)

p(x) = 3x^2 + 4x + 2K ; p(x) = 0

p(-2) = 3(-2)^2 + 4(-2) + 2K

0 = 3(4) - 8 + 2K

0 = 12 - 8 + 2K

-4 = 2K

-4/2 = K

K = -2

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