Question

The polynomial x²-2x-8 write a factor of the given polynomial

Answer 1

Answer:

Step-by-step explanation:

x

+

2

)

(

x

−

4

)

 

Explanation:

x

2

−

2

x

−

8

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

1

⋅

(

−

8

)

=

−

8

and

N

1

+

N

2

=

b

=

−

2

After trying out a few numbers we get  

N

1

=

−

4

and  

N

2

=

2

−

4

⋅

2

=

−

8

, and  

2

+

(

−

4

)

=

−

2

x

2

−

2

x

−

8

=

x

2

−

4

x

+

2

x

−

8

=

x

(

x

−

4

)

+

2

(

x

−

4

)

=

(

x

+

2

)

(

x

−

4

Answer 2

Answer:

x - 4 , x + 2

Step-by-step explanation:

I hope this may help uuuuuu