If the zeroes of the polynomial f(x) =x^3-3^2+x+1 are (a-b), a and (a+b), find the a and b
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a−b,a,a+b are zeroes of x ³−3x² +x+1
⇒a−b+a+a+b= sum of zeroes = 3
⇒3a=3
⇒a=1
(a−b)(a)(a+b)= product of zeroes =−1
⇒(1−b)(1+b)=−1
⇒1−b² =−1
⇒b²=2
⇒b=±√2
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