Using the X Method to Factor a Trinomial ax2 + bx + c

Consider the trinomial 6x2 + 13x + 6.

The value of ac is

The value of b is

The two numbers that have a product of ac and a sum

of b are 4

(3x+2)(2x+3)

Step-by-step explanation:

Given the trinomial:

We want to use the X Method to Factor the Trinomial.

a=6, b=13, c=6

Factors of 36 are:

1,2,3,4,6,9,12,18,36

Product of factors that gives 36 are:

The two numbers that have a product of ac (36) and a sum  of b (13) are: 4 and 9.

Therefore our trinomial becomes:

Thus, in factored form is (3x+2)(2x+3)

24 units

step-by-step explanation: