How do you factor $-2x^3 - 2x^2 + 12x$ ?

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Answer 1 · 2017-07-27T01:44:43

$-2x(x+3)(x-2)$

$-2x^3-2x^2+12x$

We remove the first factor that is common to all terms.

$-2x(x^2+x-6)$

We further factorise the terms in brackets.

$-2x(x^2+3x-2x-6)$

$-2x[x(x+3)-2(x+3)]$

$-2x(x+3)(x-2)$

How do you factor -2x^3 - 2x^2 + 12x-2x^3 - 2x^2 + 12x?