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C H A P T E R 2 Polynomial and Rational Functions

C H A P T E R 2 Polynomial and Rational Functions

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20.<br />

22.<br />

24.<br />

26.<br />

28.<br />

29.<br />

31.<br />

33.<br />

3 5<br />

5<br />

18<br />

15<br />

3<br />

7<br />

9<br />

2<br />

5x 3 18x 2 7x 6<br />

x 3<br />

2 9<br />

9<br />

18<br />

18<br />

0<br />

16<br />

0<br />

16<br />

32<br />

32<br />

9x 3 18x 2 16x 32<br />

x 2<br />

6 3<br />

3<br />

16<br />

18<br />

2<br />

3x 3 16x 2 72<br />

x 6<br />

2 5<br />

5<br />

0<br />

10<br />

10<br />

5x 3 6x 8<br />

x 2<br />

3 1<br />

0<br />

12<br />

12<br />

6<br />

6<br />

0<br />

5x 2 3x 2<br />

0<br />

72<br />

72<br />

0<br />

9x 2 16<br />

3x 2 2x 12<br />

6<br />

20<br />

26<br />

x 5 13x 4 120x 80<br />

x 3<br />

8 1<br />

1<br />

1<br />

8<br />

52<br />

44<br />

5x 2 10x 26 44<br />

x 2<br />

13<br />

3<br />

16<br />

0<br />

48<br />

48<br />

x 3 512<br />

x 8 x2 8x 64<br />

2 3<br />

3<br />

0<br />

8<br />

8<br />

0<br />

64<br />

64<br />

0<br />

144<br />

144<br />

120<br />

432<br />

312<br />

80<br />

936<br />

856<br />

Section 2.3 <strong>Polynomial</strong> <strong>and</strong> Synthetic Division 171<br />

21.<br />

23.<br />

25.<br />

27.<br />

2 4<br />

4<br />

8<br />

8<br />

0<br />

9<br />

0<br />

9<br />

4x 3 8x 2 9x 18<br />

x 2<br />

10 1<br />

1<br />

0<br />

10<br />

10<br />

x 3 75x 250<br />

x 10<br />

4 5<br />

x 4 16x 3 48x 2 144x 312 856<br />

x 3<br />

512<br />

512<br />

0<br />

3x4 x 2 3x3 6x2 12x 24 48<br />

x 2<br />

6 1<br />

1<br />

180x x 4<br />

0<br />

6<br />

6<br />

0<br />

6<br />

6<br />

0<br />

12<br />

12<br />

0<br />

36<br />

36<br />

0<br />

24<br />

24<br />

180<br />

216<br />

36<br />

0<br />

48<br />

48<br />

0<br />

216<br />

216<br />

x 6 x3 6x 2 36x 36 216<br />

x 6<br />

30.<br />

32.<br />

34.<br />

5<br />

6<br />

20<br />

14<br />

5x 3 6x 2 8<br />

x 4<br />

6 10<br />

10<br />

50<br />

60<br />

10<br />

0<br />

56<br />

56<br />

10x 4 50x 3 800<br />

x 6<br />

9 1<br />

1<br />

0<br />

9<br />

9<br />

0<br />

81<br />

81<br />

18<br />

18<br />

0<br />

4x 2 9<br />

75<br />

100<br />

25<br />

250<br />

250<br />

0<br />

x 2 10x 25<br />

8<br />

224<br />

232<br />

5x 2 14x 56 232<br />

x 4<br />

0<br />

60<br />

60<br />

0<br />

360<br />

360<br />

x 3 729<br />

x 9 x2 9x 81<br />

2 3<br />

3<br />

0<br />

6<br />

6<br />

0<br />

12<br />

12<br />

800<br />

2160<br />

1360<br />

10x 3 10x 2 60x 360 1360<br />

x 6<br />

729<br />

729<br />

0<br />

0<br />

24<br />

24<br />

0<br />

48<br />

48<br />

3x 4<br />

x 2 3x 3 6x 2 12x 24 48<br />

x 2<br />

1 1<br />

1<br />

2<br />

1<br />

3<br />

5 3x 2x 2 x 3<br />

x 1<br />

3<br />

3<br />

6<br />

5<br />

6<br />

11<br />

x 2 3x 6 11<br />

x 1

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