Question

24x² + 14x - 5 i need all the steps

Answer 1

Answer:

(6x+5)(4x−1)

Step-by-step explanation:

24x² + 14x - 5        Factor the expression

(6x+5)(4x−1)           Double check the answer by FOILing

24x² - 6x + 20x - 5    Combine like terms

24x² + 14x - 5            This answer does work

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Answer 2

(4x-1) (6x+5)

For a polynomial of the form
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
24
⋅
−
5
=
−
120
a
⋅
c
=
24
⋅
-
5
=
-
120
and whose sum is
b
=
14
b
=
14
.
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24
x
2
−
6
x
+
20
x
−
5
24
x
2
-
6
x
+
20
x
-
5
Factor out the greatest common factor from each group.
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6
x
(
4
x
−
1
)
+
5
(
4
x
−
1
)
6
x
(
4
x
-
1
)
+
5
(
4
x
-
1
)
Factor the polynomial by factoring out the greatest common factor,
4
x
−
1
4
x
-
1
.
(
4
x
−
1
)
(
6
x
+
5
)