Question

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

Answer 1

We have to find the value of k.

Given,

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

Product of the polynomial = 3

`\text{Constant team}/(\text{Coefficient of }x^3)=3`

`k/1=3`

`k=3xx1`

`k=3`

Hence, the value of k is k = 3.