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If a Quadratic Polynomial F(X) is a Square of a Linear Polynomial, Then Its Two Zeros Are Coincident. (True/False). - Mathematics

Sum
True or False

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

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Solution

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 .

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 37 | Page 61
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