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Anvisha [2.4K]
2 years ago
5

Using the X Method to Factor a Trinomial

Mathematics
1 answer:
sashaice [31]2 years ago
5 0

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

<u>Product of factors that gives 36 are:</u>

  • 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)

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