UNIT III REVIEW EVEN ANSWERS

2. Factored form of denominators:

a², 2a – 3, and 2(a)

LCD: 2a²(2a – 3) {Highest power of each factor}

4.

6.

8.

So x³ + 3x² – 10x – 24 = (x+2)(x² +x – 12) = (x + 2)(x + 4)(x – 3)

10.

{2x + 1 and 1 – 2x are opposites of each other. So when they cancel, we are left with a –1.}

12.

14.

16.

18.

20.

22.

24.

26.

28.

Excluded Value: 4

LCD: 4 – y

No solution {Since 4 is our excluded value}

30.

Excluded value: 0 and LCD: y²

32. a. C = πd

C = π(102) ≈ 320.442 ft.

b.

34.

36. Let x = smaller integer

Let x + 2 = larger integer

The two integers are 10 and 12.

38. r = speed of boat in still water

	Distance in miles	Rate in MPH	Time in hr.
Downstream	22	R + 4
Upstream	10	R – 4

The speed of the boat in still water is 10mph.

40. n = smaller number

n + 9 = larger number

The numbers are 6 and 15 or .

42. Domain: All reals except 2. {2 would make the denominator 0.}

44.