You can
put this solution on YOUR website! factor:
12x³-16x²-3x+4
I'll do some coloring:
12x³-16x²-3x+4
Factor 4x² out of the two red terms:
4x²(3x-4)-3x+4
Factor -1 out of the two blue terms:
4x²(3x-4)-1(3x-4)
Now I'll re-color the above:
4x²(3x-4)-1(3x-4)
Now look at the two purple parentheses:
You can take out the entire purple parentheses just
as though it were merely a single number or letter,
and it will leave the two green factors to put
in a parentheses:
(3x-4)(4x²-1)
But this is not finished because the (4x²-1) is
the difference of two perfect squares and factors
as (2x-1)(2x+1), so the final answer is
(3x-4)(2x-1)(2x+1).
or without the coloring:
(3x-4)(2x-1)(2x+1).
Edwin
