If the product of zeros of the quadratic polynomial f(x) = x2 − 4x + k is 3,
Question:

If the product of zeros of the quadratic polynomial $f(x)=x^{2}-4 x+k$ is 3, find the value of $k$.

Solution:

We have to find the value of k.

Given,

The product of the zeros of the quadratic polynomial $f(x)=x^{2}-4 x+k$. is 3

Product of the polynomial $=3$

$\frac{\text { Constant term }}{\text { Coefficient of } x^{3}}=3$

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

$k=3 \times 1$

$k=3$

Hence, the value of $k$ is $k=3$.