7.Determine whether each expression represents a number that is positive, negative,or zero.
(a) (b) (c) (d) (e) (f )
- (a)Write 45,000,000,000 using scientific notation.
(b) Write without using exponents.
(c) Write the quotient without using exponents:
9.A satellite galaxy of the Milky Way, known as the
Large Magellanic Cloud, is 1000 light-years across.
A light-year is equal to 5,890,000,000,000 mi.
(Source: “Images of Brightest Nebula Unveiled,”
USA Today.)
(a)Write the two boldface italic numbers in scientific
notation.
(b)How many miles across is the Large Magellanic
Cloud?
For each polynomial, combine like terms when possible and write the polynomial in
descending powers of the variable. Give the degree of the simplified polynomial. Decide
whether the simplified polynomial is a monomial,a binomial,a trinomial,or none of these.
- 12.Use the table to complete a set of ordered pairs that lie
on the graph of Then graph the equation.
Perform each indicated operation.
13.
14.
15.Subtract.
9 t^3 + 8 t^2 - 3 t- 6
9 t^3 - 4 t^2 + 2 t+ 2
1 - 9 a^3 b^2 + 13 ab^5 + 5 a^2 b^22 - 16 ab^5 + 12 a^3 b^2 + 10 a^2 b^22
12 y^2 - 8 y+ 82 + 1 - 3 y^2 + 2 y+ 32 - 1 y^2 + 3 y- 62
y= 2 x^2 - 4.
5 x^2 + 8 x- 12 x^213 n^3 - n^2 +n^4 + 3 n^4 - 9 n^2
9.5* 10 -^1
5 * 103
.
3.6* 10 -^6
3 -^41 - 324 - 34 30 1 - 320 - 30 1 - 32 -^3
x 01 2
y
- 3 x^21 - 9 x^3 + 6 x^2 - 2 x+ 12
17. 18.
19. 20.
21.
22.What polynomial expression represents, in appropriate units, the perimeter of this square?
The area?
12 r- 321 r^2 + 2 r- 52
15 x- 2 y 22 110 v+ 3 w 2110 v- 3 w 2
1 t- 821 t+ 32 14 x+ 3 y 212 x-y 2
3 x + 9
356 CHAPTER 5 Exponents and Polynomials
Perform each division.
- 13 x^3 - x+ 42 , 1 x- 22
5 x^2 - x- 18
5 x+ 9
1 - 9 x^2 y^3 + 6 x^4 y^3 + 12 xy^32 , 13 xy 2
8 y^3 - 6 y^2 + 4 y+ 10
2 y
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