Question

If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident. (True/False).

Answer 1

This statement is true.

Explanation:

The polynomial `f(x) = x^2 = (x - 0)(x - 0)` has two identical factors. The curve `y = x^2` cuts x-axis at two coincident points that is exactly at one point.

Hence, quadratic polynomial `f(x)` is a square of linear polynomial then its two zeros are coincident.