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