How do you factor -18x ^ { 3} - 8x ^ { 2} + 6x?

2 Answers
Nov 9, 2017

Extract the variable first into a quadratic and the variable.

Explanation:

-18x^3 - 8x^2 + 6x = x xx (-18x^2 - 8x + 6)
2x xx (-9x^2 - 4x + 3)

x = 0 is one solution, the others are found using the quadratic formula on the remaining part of the expression.

Nov 9, 2017

2x(-9x^2-4x+3)

Explanation:

You have to factor out the largest factor of every term in the trinomial. It turns out that 2x factors evenly out of every term.

2x(-9x^2)+2x(-4x)+2x(3)

Pulling the 2x term out to the front gives

2x(-9x^2-4x+3)