Question

If the product of the zeros of the quadratic polynomial $x^2-4x+k$ is 3 then write the value of k.

Answer 1

the given polynomial is
$p\left(x\right)=x^2-4x+k$

Now,

For a quadratic equation $a{x}^2+bx+c=0$,

the product of zeros $=\frac{\text{Constant term}}{\text{Coefficient of}{x}^2}$

ie, $3=\frac{k}{1}\Rightarrow k=3$