Question

Factor the quadratic. 2x^2+5x-12

Answer 1

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)