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

p(x) = x^{2} – 1, x = 1, –1

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#### Solution

If *x* = 1 and *x* = −1 are zeroes of polynomial *p*(*x*) = *x*^{2} − 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.

Concept: Zeroes of a Polynomial

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