Question

How do you find the greatest common factor of `12x^3+6x^2-3x`?

Answer 1

GCF `= 3x`

Explanation:

Separate the constant and variable factors of each term;
find the greatest common factor for each set;
multiply the resulting common factors from each set to get the GCF of the original terms.

Given
`color(white)("XXX")12x^3+6x-3x`

`{: (((12),(6),(-3)),{:(),(xxcolor(red)3=),():},((4),(2),(-1))) :}`

`{: (((x^3),(x^2),(x)),{:(),(xxcolor(blue)x=),():},((x^2),(x),(1))) :}`

`GCF= color(red)3color(blue)x`