Math, asked by sanoj4, 11 months ago

type of polynomial 5x^4+ 2x^3+3x^2/2x^2​

Answers

Answered by Kapiltheflash
0

It is a bi- quadratic polynomial as it has degree 4

Answered by ranaveena01982
0

Answer:

x

4

+

2

x

3

+

3

x

2

+

2

x

+

1

=

(

x

2

+

a

x

+

1

)

(

x

2

+

b

x

+

1

)

Multiply the factors on the right:

x

4

+

2

x

3

+

3

x

2

+

2

x

+

1

=

x

4

+

(

a

+

b

)

x

3

+

(

a

b

+

2

)

x

2

+

(

a

+

b

)

x

+

1

So

a

+

b

=

2

, thus  

b

=

2

a

a

b

=

a

(

2

1

)

=

1

, thus  

a

2

2

a

+

1

=

0

The only root for  

a

is  

a

=

1

, then also  

b

=

1

and we end up with:

x

4

+

2

x

3

+

3

x

2

+

2

x

+

1

=

(

x

2

+

x

+

1

)

2

.

Step-by-step explanation:

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