Question

2x^3-4x^2-8x+10 factories it.​

Answer 1

Answer:

First, we must identify the common elements in this function. Let's just disaggregate them for a while:

2

⋅

x

⋅

x

⋅

x

+

2

⋅

2

⋅

x

⋅

x

−

2

⋅

2

⋅

2

⋅

x

Note that the three of them are multiplied by

2

x

. Therefore, this element comes out:

2

x

(

x

2

+

2

x

−

4

)

As inside the parenthesis we have a quadratic, we can solve it and find its roots, which are

x

1

=

−

1

−

√

5

and

x

2

=

−

1

+

√

5

.

We can rewrite these roots as

x

1

+

1

+

√

5

=

0

and

x

2

+

1

−

√

5

=

0

...and use these as our factors:

2

x

(

x

+

(

1

+

√

5

)

)

(

x

+

(

1

−

√

5

)

)

Answer 2

have a great day ahead

hope it helps