Question 49929
Factor:
{{{6x^2+13x+6}}}
The factors will have the form:
{{{(ax+m)(bx+n)}}} where:
a*b = 6 {The coefficient of the first term in your expression)
an+bm = 13 (The coefficient of the second term in your expression)
m*n = 6 (The constant term in your expression)

For a*b = 6, a = 1 and b = 6 or a = 2 and b = 3
For m*n = 6, m = 1 and n = 6 or m = 2 and m = 3

Now you do a little trial & error processing (Educated guessing)

Try a = 2, b = 3 and m = 3, n = 2

{{{(2x+3)(3x+2)}}} Multiply these factors using FOIL to see if you get your original expression.

{{{(2x+3)(3x+2) = 6x^2+4x+9x+6}}} Simplify.
{{{6x^2+13x+6}}} It works!

The factors are: {{{(2x+3)(3x+2)}}}