Question

if the sum of the product is -1, sum and the product of zeroes are 3 and -3 respectively, find the cubic polynomial​

Answer 1

roots are a, b, and c

a + b + c = 3

a × b × c = -3

ab + bc + ca = -1

x^3 - (a + b + c)x^2 + (ab + bc + ca)x - (a × b × c) = 0

x^3 - ( 3 )x^2 + (3)x - (-3) = 0

x^3 - 3x^2 + 3x + 3 = 0

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