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 $k=3$.
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