Question

If zeroes of the polynomial
$x ^{3} - 3x ^{2} + x + 1$
are a-b, a, a+b find a and b​

Answer 1

As we know that sum of zeroes

a+b+a+a-b=-(-3)

3a=3

a=1

product of zeroes=(a+b)(a)(a-b)

=(a^2-b^2)(a)=1

[(1)^2-b^2](1)=1

-b^2=2

b=-√2

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