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