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9x2 +9x+2 factor by grouping something called ac- method

User CPlusSharp
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9x^2+9x+2

The trinomial is in the form:

ax^2+bx+c

Where:

a=9

b= 9

c=2

First, multiply a by c:

9 x 2 = 18

then, find product that equal 18

2 x 9 = 18

1 x 18 = 18

6 x3 =18

Find the the one that added equal to b-

b= 9

6+3 = 9

Rewrite the trinomial with new numbers added in the middle term place:

9x = 6x+3x

9x^2+6x+3x+2

Isolate similar terms and factor by Great Common factor:

(9x^2+3x) +(6x+2)

3x (3x+1)+2(3x+1)

Factor out 3x+1

(3x+2) (3x+1)

User Beseder
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