Factor the quadratic.

2x^2+5x-12

2

2x

2

+ 5x-12

1 Split the second term in

2

x

2

+

5

x

-

1

2

2x

2

+ 5x-12 into two terms.

2

x

2

+

8

x

-

3

x

-

1

2

2x

2

+ 8x-3x-12

2 Factor out common terms in the first two terms, then in the last two terms.

2

x

(

x

+

4

)

-

3

(

x

+

4

)

2x (x+4) - 3 (x+4)

3 Factor out the common term

x

+

4

x+4.

(

x

+

4

)

(

2

x

-

3

)

(x+4) (2x-3)