If - - y be the zeros of the polynomial p x such that - y -3- - y -10 and - Y -24- then p x isA- x3-3 x2-10 x-24B- x3-3 x2-10 x-24C- x3-3 x2-10 x-24D- x3-3 x2-10 x-24

The correct option is B x3 3x2 10x + 24 ...

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Formation of a Quadratic Equation From It's Roots

If α, β, y be...

Question

If α, β, γ be the zeros of the polynomial p(x) such that α + β + γ = 3, αβ + βγ + γα = -10 and αβγ =24, then p(x) is

x³ - 3x² - 10x - 24

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x³ - 3x² - 10x + 24

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x³ + 3x² - 10x + 24

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x³ + 3x² + 10x - 24

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Solution

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p (x) = x^{3} - 3 x^{2} - 10 x + 24

x^{3} - 3 x^{2} - 10 x + 24

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x^{3} - 3 x^{2} - 10 x + 24

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