how do i factor 6a213a6Solution6a213a6 It is of the form ax2

how do i factor 6a^2+13a+6

6a^2+13a+6
It is of the form
ax^2 + bx + c

So, constants a = 6 , b = 13 and c = 6

We need two numbers that add up to b
and multiply to yield ac

So, sum of the numbers = b = 13
And product = ac = 6*6 = 36

So, the numbers that work are 9 and 4

So, we have :

6a^2 + 9a + 4a + 6

Now, we factor by grouping them by pairing them up :
6a^2 + 9a is one group and 4a + 6 another

When we factor, we get :
3a(2a + 3) + 2(2a + 3)

Notice we can now factor the common 2a+3 to get :

(3a +2)(2a + 3) -----> ANSWER