Question

verify whether the indicated numbers are zeros of the polynomial. 1. f(x) = x²-1 , x = 3-3​

Answer 1

Answer:

Yes , the indicated numbers are zeroes of the polynomial .

We know, if a is a zero of p(x), then p(a)=0.

Given, f(x)= x ² - 1

Let x = 1:

Then f(1)= (1)²

−1 = 1−1 =0.

That is, x = 1 is a zero of the given polynomial f(x).

Now let x=−1:

Then f(−1) = (−1)²

−1 = 1−1 = 0.

That is, x=−1 is a zero of the given polynomial f(x).

Hence, verified that x=1,−1 are the zeroes of the given polynomial.

Answer 2

Explanation:

We know, if a is a zero of p(x), then p(a)=0.

Given, f(x)=x

2

−1.

Let x=1:

Then f(1)=(1)

2

−1=1−1=0.

That is, x=1 is a zero of the given polynomial f(x).

Now let x=−1:

Then f(−1)=(−1)

2

−1=1−1=0.

That is, x=−1 is a zero of the given polynomial f(x).

Hence, verified that x=1,−1 are the zeroes of the given polynomial.