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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

Respuesta :

Answer:

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

Step-by-step explanation:

Given the trinomial: [tex]6x^2 + 13x + 6.[/tex]

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:

[tex]6x^2 + 13x + 6\\=6x^2 +9x +4x+ 6\\=3x(2x+3)+2(2x+3)\\=(3x+2)(2x+3)[/tex]

Thus, [tex]6x^2 + 13x + 6[/tex] in factored form is (3x+2)(2x+3)

elizabeths2023

Answer:

first blank= 36

second blank= 13

third and last blank= 9

Step-by-step explanation:

I just did it and it was correct have good day

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