Question

Q.19 *
1 point
The factors of 2x² – 11x + 5 are​

Answer 1

Step-by-step explanation:

I'll use a version of the AC Method.

The coefficients are

A

=

2

,

B

=

11

,

C

=

5

(ignoring any signs).

Since the sign on the constant term is

+

, look for a pair of factors of

A

C

=

10

, whose sum is

11

. The pair

1

,

10

works.

Then use that pair to split the middle term and factor by grouping:

2

x

2

+

11

x

+

5

=

2

x

2

+

x

+

10

x

+

5

=

(

2

x

2

+

x

)

+

(

10

x

+

5

)

=

x

(

2

x

+

1

)

+

5

(

2

x

+

1

)

=

(

x

+

5

)

(

2

x

+

1

)