Question

Using the X Method to Factor a Trinomial

Answer 1

Answer:

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

Step-by-step explanation:

Given the trinomial: $6x^2 + 13x + 6.$

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

a=6, b=13, c=6

• The value of ac is  6*6=36
• The value of b=13

Factors of 36 are:

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

Product of factors that gives 36 are:

• 1X36
• 2X18
• 3X12
• 4X9
• 6X6

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

Therefore our trinomial becomes:

$6x^2 + 13x + 6\\=6x^2 +9x +4x+ 6\\=3x(2x+3)+2(2x+3)\\=(3x+2)(2x+3)$

Thus, $6x^2 + 13x + 6$ in factored form is (3x+2)(2x+3)