Find the zeroes of the polynomial p(x)= (x – 2)2 – (x+ 2)2.

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asked Jan 30, 2018 in Class IX Maths by saurav24 Expert (1,427 points)

Find the zeroes of the polynomial p(x)= (x – 2)2 – (x+ 2)2

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answered Jan 30, 2018 by navnit40 (-4,306 points)

Given, polynomial is p(x) = (x – 2)2 – (x+ 2)2
For zeroes of polynomial, put p(x) = 0
(x – 2)2 – (x+ 2)= 0
(x-2 + x+2)(x-2-x-2) = 0 [using identity, a2-b2 =(a-b)(a + b)]  (2x)(-4) = 0

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