How do you factor $-24x^3 + 2x + 47x^2$ ?

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Answer 1 · 2015-05-26T11:12:12

Given $-24x^3+2x+47x^2$

Extract the obvious common term $(-x)$ and re-arrange in normal sequence:
$= (-x)(24x^2-47x-2)$

Recognize that $(-47) = (color(red)(24)xxcolor(blue)((-2))) +(color(red)(1)xxcolor(blue)(1))$
$=(-x)(color(red)(24x+1))(color(blue)(1x-2))$

How do you factor -24x^3 + 2x + 47x^2-24x^3 + 2x + 47x^2?