Question

If one zero of the quadratic polynomial $x^2+3x+k$ is 2, then find the value of k.

Answer 1

Given polynomial $x^2+3x+k=f\left(x\right)$

Also, given that $2$ is one of the zeros of the polynomial.

$\therefore f\left(2\right)=0$

$\Rightarrow 4+6+k=0$

$\Rightarrow k=-10$

Hence, the value of $k$ is $-10$