# How do you factor completely #x^2+2x+3x+6#?

##### 1 Answer

Dec 16, 2015

#### Answer:

Factor by grouping to find:

#x^2+2x+3x+6=(x+3)(x+2)#

#### Explanation:

Factor by grouping as follows:

#x^2+2x+3x+6#

#=(x^2+2x)+(3x+6)#

#=x(x+2)+3(x+2)#

#=(x+3)(x+2)#

With this question, the hard/fun part has already been done for you, viz splitting the

If you did have to find the split yourself, you would look for two numbers which add up to

Notice that in general,