Question

check whether-2 and 2 are the zeroes of the polynomial x⁴- 16​

Answer 1

Answer:

Both, x = 2 and x = -2 are zero of this poynomial.

Step-by-step explanation:

==: x⁴ - 16

At x = -2

==: (-2)⁴ - 16

==: 16 - 16

==: 0

x = -2 is zero of this polynomial

At x = 2

==: (2)⁴ - 16

==: 16 - 16

==: 0

x = 2 is zero of this polynomial

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Answer 2

If x=(-2)

${x}^{4} - 16 \\ = ({ - 2})^{4} - 16 \\ =16 - 16 \: \: \: \: \: \: \: \\ = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, x=(-2) is the zero of the polynomial.

If x=2

${x}^{4} - 16 \\ = ( {2})^{4} - 16 \\ = 16 - 16 \: \: \: \\ = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, x=(2) is the zero of the polynomial.