How do you factor 18x38x2+6x?

2 Answers
Nov 9, 2017

Extract the variable first into a quadratic and the variable.

Explanation:

18x38x2+6x=x×(18x28x+6)
2x×(9x24x+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(9x24x+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(9x2)+2x(4x)+2x(3)

Pulling the 2x term out to the front gives

2x(9x24x+3)