# If the product of the zeros of the quadratic polynomial

Question:

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

Solution:

By using the relationship between the zeros of the quadratic ploynomial.
We have

Product of zeroes $=\frac{\text { constant term }}{\text { coefficent of } x^{2}}$

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

$\Rightarrow k=3$