zero of the polynomial x square+1 (x€R)
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1
Rewrite the polynomial x
2
−1=0 as:
x
2
−1=0
⇒x
2
−1
2
=0
⇒(x−1)(x+1)=0(∵a
2
−b
2
=(a−b)(a+b))
⇒(x−1)=0,(x+1)=0
⇒x=1,x=−1
Hence, the zeroes of the polynomial x
2
−1 are 1,−1.
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