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Answer:

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Ver imagen meredith48034

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

.

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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

)

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