Question 42842
Okay from
2x^2 + x - 6
what we do is to set up our binomial's parentheses first
( )( )
then we look at the second sign, the minus in front of the 6...
since it's minus, we know our binomial factors have different signs...
( + )( - )
then we say "what are the factors of 12 (the 2 times the 6) that have a difference of 1 (the coefficient of the middle term)?"
The factors are 4 and 3...we then try to place the factors of 2x^2 and the factors of -6 in such a way that when we FOIL it out we get the +1x middle term...we get
(x + 2)(2x - 3)