Check whether – 2 and 2 are the zeroes of the polynomial x4 – 16. – InterviewSolution

InterviewSolution

1.

Check whether – 2 and 2 are the zeroes of the polynomial x4 – 16.

Answer»

Given polynomial is x⁴ – 16

Let p(x) = x⁴ – 16

We have p(-2) = (-2)⁴ – 16

= 16 – 16 = 0 and

p(2) = (2)⁴ – 16

= 16 – 16 = 0

p(-2) = 0 and p(2) = 0.

So these are zeroes of the polynomial.

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