Check whether -2 and 2 are the zeroes of the polynomial x⁴ - 16
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f(x) = x^4 - 16
putting f(-2) = (-2)^4 - 16
= (-2) x (-2) x (-2) x (-2) - 16
= 16 - 16
= 0
Now putting f(2) = x^4 - 16
= (2)^4 - 16
= (2) x (2) x (2) x (2) - 16
= 16 - 16
= 0
Therefore yes -2 and 2 are the non zeroes of the given polynomial.
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