Question

How do you factor the expression `x^2 + 3x + 2`?

Answer 1

`(x+2)(x+1)`

Explanation:

Using the a-c method.

`"with " a=1,b=3,c=2`

Consider the `color(blue)" product of the factors of ac"` which also `color(blue)" sum to give b"`

That is `" product "=1xx2=2" and sum "=3`

`rArr1" and " 2 " are the values"`

`rArrx^2+3x+2=(x+2)(x+1)`