If −2 is a zero of the polynomial

Question:

If $-2$ is a zero of the polynomial $3 x^{2}+4 x+2 k$ then find the value of $k$.

Solution:

Given: x = −2 is one zero of the polynomial 3x2 + 4x + 2k
Therefore, It will satisfy the above polynomial.
Now, we have

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

$\Rightarrow 12-8+2 k=0$

$\Rightarrow k=-2$

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