If a quadratic polynomial f(x) is a square of a linear polynomial,

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

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