Question

Find the zeroes of the following polynomials.
a) x2-1​

Answer 1

Your Answer:

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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