**4***x*² - 2*x* - 6
4 • -6 = -24
factors -6 and +4 add
to middle term -2
**4***x*²
- 6*x* + 4*x*
- 6
(4*x*² - 6*x*) + (4*x* - 6)
2*x*(2*x* - 3) + 2(2*x* - 3)
(2*x *+ 2)(2*x* - 3)
Now, factor further.
2(*x* + 1)(2*x* - 3)
ANSWER
Even though we did not
FACTOR out the common factor before starting the
standard "factoring by grouping" method, we were still able to arrive at the correct
answer (by factoring the final answer). |
**Factor by grouping
w/grid box:** |
**4***x*² - 2*x* - 6
4 • -6 = -24
factors -6 and +4 add
to middle term -2
**(2***x* + 2)(4*x* - 6)
Factor
further.
2(*x* + 1)•2(2*x* - 3)
4(*x* + 1)(2*x* - 3)
OOPS! Wrong!
If we use the "grid method"
when we have not factored the common factor BEFORE starting
the process,
we get the WRONG answer. |