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Verify whether the following zeroes of the polynomial, indicated against them. p(x) = x^2 – 1, x = 1, –1 - Mathematics

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ConceptZeroes of a Polynomial

Question

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = x2 – 1, x = 1, –1

Solution

If x = 1 and x = −1 are zeroes of polynomial p(x) = x2 − 1, then p(1) and p(−1) should be 0.

Here, p(1) = (1)2 − 1 = 0, and

        p(− 1) = (− 1)2 − 1 = 0

Hence, x = 1 and −1 are zeroes of the given polynomial.

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Solution Verify whether the following zeroes of the polynomial, indicated against them. p(x) = x^2 – 1, x = 1, –1 Concept: Zeroes of a Polynomial.
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