# How do you factor completely #3x^2 - 5x - 2#?

##### 1 Answer

#### Answer:

#### Explanation:

Looking for

We see that

and

In the hopes of finding integer values for

we note that the factors of

so if

and

we also note the the factors of

We can test these possible combinations looking for

#{: (underline(a),underline(b),underline(c),underline(d),,underline(ad+cb)), (1,3,-1,2,,-1), (1,3,2,-1,,+5), (1,3,1,-2,,+1), (color(red)(1),color(red)(3),color(red)(-2),color(red)(1),,color(red)(-5)) :}#

We have found values that match our requirements:

So