Question

3. If the zeroes of the polynomial x^3 - 3x^2 + x +1 are a - b, a, a + b, find a and b
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Answer 1

we know, sum of zeroes =-b/a

a-b+a+a+b=3

3a=3

a=1

also,product of zeroes=-d/a

a-b×a×a+b=-1

1-b^2=-1

b=0