Question

Verify weather 2 is a zero of the polynomial x^2-2​

Answer 1

Answer:

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10th

Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

Check whether -2 and 2 are ...

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Asked on December 20, 2019 by

Lasya Lokesh

Check whether -2 and 2 are the zeros of the polynomial x

4

−16

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ANSWER

Let us substitute x=−2 in the given polynomial f(x)=x

4

−16 as shown below:

f(−2)=(−2)

4

−16=16−16=0

Since f(−2)=0, therefore, −2 is the zero of the polynomial f(x)=x

4

−16.

Now substitute x=2 as shown follows:

f(2)=(2)

4

−16=16−16=0

Since f(2)=0, therefore, 2 is the zero of the polynomial f(x)=x

4

−16.

Hence, −2 and 2 are the zeroes of the polynomial f(x)=x

4

−16.

Answer 2

Answer:

No

Step-by-step explanation:

x^2-2

Let x=2

(2)^2-2=0

4-2=0

2=0

This is false

So 2 is not a zero of the polynomial p(x)=x^2-2