Divide. See Examples 2–5.
20. 21. 22.
23. 24. 25.
26. 27. 28.
- 12 z^3 - 5 z^2 + 6 z- 152 , 12 z- 52 30. 13 p^3 +p^2 + 18 p+ 62 , 13 p+ 12
p^3 + 3 p^2 - 4
p+ 2m^3 - 2 m^2 - 9
m- 38 z^3 - 6 z^2 - 5 z+ 3
4 z+ 33 m^3 + 5 m^2 - 5 m+ 1
3 m- 1x^2 + 11 x+ 16
x+ 8p^2 + 2 p+ 20
p+ 62 k^2 - 3 k- 20
2 k+ 53 t^2 + 17 t+ 10
3 t+ 2q^2 + 2 q- 35
q- 5q^2 + 4 q- 32
q- 4y^2 + 3 y- 18
y+ 6y^2 +y- 20
y+ 5SECTION 5.5 Dividing Polynomials 307
- 14 x^3 + 9 x^2 - 10 x+ 32 , 14 x+ 12 32. 110 z^3 - 26 z^2 + 17 z- 132 , 15 z- 32
33. 34.
35. 36.
37. 38.
39. 40.
41. 42.
43. 44.
8 t^4 + 6 t^3 + 12 t- 32
4 t^2 + 3 t- 86 y^4 + 4 y^3 + 4 y- 6
3 y^2 + 2 y- 39 k^4 + 12 k^3 - 4 k- 1
3 k^2 - 14 k^4 + 6 k^3 + 3 k- 1
2 k^2 + 113 x^3 - x+ 42 , 1 x- 22 13 k^3 + 9 k- 142 , 1 k- 2212 x^3 - 11 x^2 + 252 , 1 x- 52 12 x^3 + 3 x^2 - 52 , 1 x- 121 x^3 + 2 x- 32 , 1 x- 12 1 x^3 + 5 x^2 - 182 , 1 x+ 328 m^3 - 18 m^2 + 37 m- 13
2 m^2 - 3 m+ 66 x^3 - 19 x^2 + 14 x- 15
3 x^2 - 2 x+ 4- 1 x^4 - 4 x^3 + 5 x^2 - 3 x+ 22 , 1 x^2 + 32 46. 13 t^4 + 5 t^3 - 8 t^2 - 13 t+ 22 , 1 t^2 - 52
51. 52.
8 a^3 + 1
2 a+ 1p^3 - 1
p- 113 a^2 - 11 a+ 172 , 12 a+ 62 15 t^2 + 19 t+ 72 , 14 t+ 12212 p^3 + 7 p^2 + 9 p+ 32 , 12 p+ 22 13 x^3 + 4 x^2 + 7 x+ 42 , 13 x+ 3257.Suppose that the volume of a box is
28 p The height is p
and the length is Give an ex-
pression in pthat represents the width.
58.Suppose that a minivan travels a dis-
tance of
miles in hours. Give an ex-
pression in mthat represents the rate of
the van in mph.12 m+ 9212 m^3 + 15 m^2 + 35 m+ 362
1 p+ 42.12 p^3 + 15 p^2 + 2.59.For , find. Then divide by.
Compare the remainder with P 1 - 12. What do these results suggest?
P 1 x 2 =x^3 - 4 x^2 + 3 x- 5 P 1 - 12 P 1 x 2 D 1 x 2 =x+ 1p + 4p?Brain Busters Divide.
55. 56.
Solve each problem.
a 3 q^2 +19
5
a 3 a^2 - q- 3 b , 15 q- 2223
4
a- 5 b , 14 a+ 32am^2 +7
2
a 2 x^2 - m+ 3 b, 12 m+ 327
3
x- 1 b , 13 x+ 12