Question

which rational expression should be added to x3-1/ x2+2​

Answer 1

Answer:

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Step-by-step explanation:

Let the rational expression be A that must be added to

x

2

+2

x

3

−1

to get

x

2

+2

3x

3

+2x

2

+4

, therefore, we have:

x

2

+2

x

3

−1

+A=

x

2

+2

3x

3

+2x

2

+4

⇒A=

x

2

+2

3x

3

+2x

2

+4

−

x

2

+2

x

3

−1

⇒A=

x

2

+2

(3x

3

+2x

2

+4)−(x

3

−1)

⇒A=

x

2

+2

3x

3

+2x

2

+4−x

3

+1

⇒A=

x

2

+2

2x

3

+2x

2

+5

Hence,

x

2

+2

2x

3

+2x

2

+5

should be added to

x

2

+2

x

3

−1

to get

x

2

+2

3x

3

+2x

2

+4