Answer:

(i) x−3

x

2

−2)

x

3

−3x

2

+5x−3

x

3

−2x

________________

−3x

2

+7x−3

−3x

2

−6

________________

7x−9

Quotient=x−3

Remainder=7x−9

(ii) x

2

+x−3

x

2

−x+1)

x

4

−3x

2

+4x+5+0x

3

x

4

+x

2

−x

3

______________________

x

3

+4x

2

+4x+5

x

3

−x

2

+x

______________________

−3x

2

+3x+5

−3x

2

+3x−3

______________________

8

Quotient=x

2

+x−3

Remainder=8

(iii) −x

2

−2

2−x

2

)

x

4

+0x

3

+0x

2

−5x+6

x

4

−2x

2

____________________

0x

3

+2x

2

−5x+6

+2x

2

−4

_____________________

−5x+10

Quotient=−x

2

−2

Remainder=−5x+10.