Answer:
2(x - x1)(x - x2)
Step-by-step explanation:
y = 2x^2 + 3x - 12
Factored form of y:
y = a(x - x1)(x - x2)
Find x1 and x2, the 2 real roots of y. Use the improved quadratic formula.
D
=
d
2
=
b
2
−
4
a
c
=
9
+96
=
105 --> d
=
±
√
105
x
=
−
b
2
a
±
d
2
a
=−
3
4
±
√
105
4
Therefor,
y
=
2
(
x
+
3
4
+√
105
4
)
(
x
+
3
4
−
√
105
4
)
