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

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ConceptZeroes of a Polynomial

Question

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

p(x) = (x + 1) (x – 2), x = – 1, 2

Solution

If x = −1 and x = 2 are zeroes of polynomial p(x) = (x +1) (x − 2), then p(−1) and p(2)should be 0.

Here, p(−1) = (− 1 + 1) (− 1 − 2) = 0 (−3) = 0, and

        p(2) = (2 + 1) (2 − 2 ) = 3 (0) = 0

Therefore, x = −1 and = 2 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 + 1) (x – 2), x = – 1, 2 Concept: Zeroes of a Polynomial.
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