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Question
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = (x + 1) (x – 2), x = – 1, 2
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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
Also, p(2) = (2 + 1) (2 − 2)
= 3 (0)
= 0
Therefore, x = −1 and x = 2 are zeroes of the given polynomial.
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