x
2
−
4
x
+
24 is of the form a
x
2
+
b
x
+
c with a
=
1
, b
=
−
4 and c
=
24
.
This has discriminant
Δ
=
b
2
−4a
c
=
(
−
4
)
2
−
(
4
×
1
×
24
)
=
16
−
96
=
−
80
Since Δ
<
0
, x
2
−
4
x
+
24
=
0
has 2 complex, non-real roots and x
2
−
4
x
+
24
has no linear factors with real coefficients.
In other words x
2
−
4
x
+
24
is already in simplest terms for real coefficients.
