Question

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

Answer 1

The polynomial `f(x) = x62 = (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.  True .