Respuesta :
Answer:
3x² -- 5x -- 8
Step-by-step explanation:
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
3
⋅
−
8
=
−
24
and whose sum is
b
=
−
5
.
Tap for fewer steps...
Factor
−
5
out of
−
5
x
.
3
x
2
−
5
(
x
)
−
8
Rewrite
−
5
as
−
8
plus
3
3
x
2
+
(
−
8
+
3
)
x
−
8
Apply the distributive property.
3
x
2
−
8
x
+
3
x
−
8
Factor out the greatest common factor from each group.
x
(
3
x
−
8
)
+
1
(
3
x
−
8
)
Factor the polynomial by factoring out the greatest common factor,
3
x
−
8
.
(
3
x
−
8
)
(
x
+
1
)