Question

How do you factor `12x²-3x`?

Answer 1

`3x(4x-1)`

Explanation:

We have to find the combined `color(blue)"common factor"` of the 2 terms.

The factors of 12 are `1,2,color(red)(3),4,6,12`

The factors of 3 are `1,color(red)(3)`

Hence the common factor of 12 and 3 is `color(red)(3)`

`x^2=x xx color(magenta)(x)" and " x=1xxcolor(magenta)(x)`

Hence the common factor of `x^2" and " x" is " color(magenta)(x)`

The combined common factor of the 2 terms is 3x

`rArr12x^2-3x=3x(4x-1)`