Question

12. Find the zeroes of the polynomial p(x) = (x - 2)2 - (x + 2)2.
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Answer 1

Answer :-

The zero of the polynomial is 0.

Explanation :-

Given,

Polynomial is $p(x) = (x - 2)^{2} - (x+ 2)^{2}$

Put p(x) = 0

Therefore,

$(x - 2)^{2} - (x+ 2)^{2}=0$

Use identity,

$a^{2}-b^{2}=(a-b)(a + b)$

$(x-2 + x+2)(x-2-x-2) = 0$            

$2x(-4)=0$

$-8x=0$

$x=0$

∴ Zero of the polynomial p(x) is 0.