Question

the cubic equation whose roots are 1,2,3is given by

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Answer 1

1,2,3 are roots of the cubic equation

So (x-1), (x-2), (x-3) are factors

(x-1)(x-2)(x-3) is the required cubic equation

(x-1)(x-2)(x-3) = 0

(x² - 3x + 2)(x-3) = 0

x³ - 3x² - 3x² + 9x + 2x - 6 = 0

x³ - 6x² + 11x - 6 = 0