How do you factor $x^{3} - 2 x - 21$ $x^3-2x-21$ ?

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How do you factor $x^{3} - 2 x - 21$ $x^3-2x-21$ ?

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Answer 1 · 2016-08-30T10:32:16

$(x^{2} + 3 x + 7) (x - 3)$ $(x^2+3x+7)(x-3)$

Explanation:

$x^{3} - 2 x - 21 = x^{3} - 3 x^{2} + 3 x^{2} - 9 x + 7 x - 21 = x^{2} (x - 3) + 3 x (x - 3) + 7 (x - 3) = (x^{2} + 3 x + 7) (x - 3)$ $x^3-2x-21 = x^3-3x^2+3x^2-9x+7x-21=x^2(x-3)+3x(x-3)+7(x-3)=(x^2+3x+7)(x-3)$ [Ans]

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How do you factor $x^{3} - 2 x - 21$ $x^3-2x-21$ ?

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