Question

use the AC method to factor: 3x^2+2x-5

Answer 1

Answer:

3

x

2

−

2

x

−

5

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

⋅

−

5

=

−

15

and whose sum is

b

=

−

2

.

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3

x

2

+

3

x

−

5

x

−

5

Factor out the greatest common factor from each group.

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3

x

(

x

+

1

)

−

5

(

x

+

1

)

Factor the polynomial by factoring out the greatest common factor,

x

+

1

.

(

x

+

1

)

(

3

x

−

5

)

Answer 2

Answer:

Thanks for this question