Perform each division. See Examples 6–9.
70. 71. 72.
73. 74.
75. 76.
77. 78.
79. 80.
81. 82.
In Exercises 83–88, if necessary, refer to the formulas on the inside covers.
5 x^3 + 4 x^2 + 10 x+ 20
5 x+ 5
3 x^3 + 5 x^2 - 9 x+ 5
3 x- 3
13 a^2 - 11 a+ 172 , 12 a+ 62 14 x^2 + 11 x- 82 , 13 x+ 62
4 t^5 - 11 t^4 - 6 t^3 + 5 t^2 - t+ 3
4 t^2 +t- 3
2 x^5 + 9 x^4 + 8 x^3 + 10 x^2 + 14 x+ 5
2 x^2 + 3 x+ 1
3 t^4 + 5 t^3 - 8 t^2 - 13 t+ 2
t^2 - 5
x^4 - 4 x^3 + 5 x^2 - 3 x+ 2
x^2 + 3
a^4 - 1
a^2 + 1
a^4 - 1
a^2 - 1
y^3 - 1
y- 1
y^3 + 1
y+ 1
2 x^3 - 8 x^2 - 11 x^4 - 4
x+ 1
4 t^2 +t^4 + 7
t^2 + 1
5 - 2 r^2 +r^4
r^2 - 1
12 x^3 +x+ 22 , 1 x+ 12 13 x^3 +x+ 52 , 1 x+ 12
1 x^3 + 2 x^2 - 32 , 1 x- 12 1 x^3 - 2 x^2 - 92 , 1 x- 32
83.The area of the rectangle is given by the
polynomial
What polynomial expresses the length
(in appropriate units)?
84.The area of the rectangle is given by the
polynomial
.
What polynomial expresses the length
(in appropriate units)?
5 x^3 + 7 x^2 - 13 x-6. 15 x^3 + 12 x^2 - 9 x+ 3
5 x + 2
3
85.The area of the triangle is given by the
polynomial
What polynomial expresses the length of
the base (in appropriate units)?
86.The area of the parallelogram is given by
the polynomial
.
What polynomial expresses the length of
the base (in appropriate units)?
24 m^3 + 48 m^2 + 12 m. 2 x^3 + 2 x^2 - 3 x- 1
m x – 1
87.If the distance traveled is miles and the rate is mph,
write an expression, in hours, for the time traveled.
88.If it costs dollars to fertilize a garden, and fertil-
izer costs dollars per square yard, write an expression, in square yards, for the
area of the garden.
1 x+ 22
14 x^5 + 3 x^4 + 2 x^3 + 9 x^2 - 29 x+ 22
15 x^3 - 6 x^2 + 3 x+ 142 1 x+ 12
List all positive integer factors of each number. See Section 1.1.
- 18 90. 36 91. 48 92. 23
PREVIEW EXERCISES
348 CHAPTER 5 Exponents and Polynomials
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