Beginning Algebra, 11th Edition

416 CHAPTER 6 Factoring and Applications

1.Concept Check Which one of the following is the correct completely factored form of

A. B.

C. D.

Factor each polynomial completely. If the polynomial is prime, say so.

Solve each equation.

Solve each problem.

25.The length of a rectangular flower bed is 3 ft less than twice its width. The area of the bed

is Find the dimensions of the flower bed.

26.Find two consecutive integers such that the square of the sum of the two integers is 11

more than the first integer.

27.A carpenter needs to cut a brace to support a wall

stud, as shown in the figure. The brace should be 7 ft

less than three times the length of the stud. If the

brace will be anchored on the floor 15 ft away from

the stud, how long should the brace be?

28.The public debt y(in billions of dollars)

of the United States from 2000 through

2008 can be approximated by the quad-

ratic equation

where represents 2000,

represents 2001, and so on. (Source:

Bureau of Public Debt.) Use the model

to estimate the public debt, to the near-

est billion dollars, in the year 2006.

x= 0 x= 1

y=29.92x^2 +305.8x+5581,

54 ft^2.

x 1 x- 202 =- 100 1 s+ 8216 s^2 + 13 s- 52 = 0

2 r^2 - 13 r+ 6 = 0 25 x^2 - 4 = 0 t^2 = 9 t

x^4 - 81 81 x^4 - 16 y^49 x^6 y^4 + 12 x^3 y^2 + 4

6 t^4 + 3 t^3 - 108 t^2 r^3 - 125 8 k^3 + 64

9 y^2 - 64 4 x^2 - 28 xy+ 49 y^2 - 2 x^2 - 4 x- 2

t^2 + 2 t+ 3 x^2 + 36 12 - 6 a+ 2 b-ab

x^2 - 5 x- 24 2 x^2 +x- 3 10 z^2 - 17 z+ 3

12 x^2 - 30 x 2 m^3 n^2 + 3 m^3 n- 5 m^2 n^22 ax- 2 bx+ay-by

21 x+ 421 x- 32 21 x+ 321 x- 42

12 x+ 621 x- 42 1 x+ 3212 x- 82

2 x^2 - 2 x-24?

TEST

CHAPTER 6

View the complete solutions to
all Chapter Test exercises on
the Video Resources on DVD.

Step-by-step test solutions are found on the Chapter Test Prep Videos

available via the Video Resources on DVD, in , or on

VIDEOS (search “LialBeginningAlgebra”).

Wall

stud

15 ft

Brace

CHAPTER

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