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