How do you factor $x^{3} + 8 x^{2} + 15 x$ $x^3+8x^2+15x$ ?

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How do you factor $x^{3} + 8 x^{2} + 15 x$ $x^3+8x^2+15x$ ?

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Answer 1 · 2018-03-09T05:27:24

x(x+3)(x+5)

Explanation:

Given, $x^{3} + 8 x^{2} + 15 x$ $x^3+8x^2+15x$
$\Rightarrow x (x^{2} + 8 x + 15)$ $rArr x(x^2+8x+15)$
$\Rightarrow x (x^{2} + 3 x + 5 x + 15)$ $rArr x(x^2+3x+5x+15)$
$\Rightarrow x [x (x + 3) + 5 (x + 3)]$ $rArr x[x(x+3)+5(x+3)]$
$\Rightarrow x (x + 3) (x + 5)$ $rArr x(x+3)(x+5)$

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How do you factor $x^{3} + 8 x^{2} + 15 x$ $x^3+8x^2+15x$ ?

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How do you factor x3+8x2+15xx^3+8x^2+15x?

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How do you factor $x^{3} + 8 x^{2} + 15 x$ $x^3+8x^2+15x$ ?