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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

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Question

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

Sum
True or False

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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Chapter 2: Polynomials - Exercise 2.4 [Page 61]

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RD Sharma Mathematics [English] Class 10
Chapter 2 Polynomials
Exercise 2.4 | Q 37 | Page 61

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