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UNIVERSITY OF LOUISIANA AT LAFAYETTE / Math / MATH 109 / Find a polynomial of lowest degree with real coefficients for which x

# Find a polynomial of lowest degree with real coefficients for which x Description

##### Description: Test 3
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## Find a polynomial of lowest degree with real coefficients for which x = 2 - i is a zero. a7%

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Math 109

Vojislav Petrovic

Fall 2014

Even so I co t

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1. Domain zeros 96)

3 verheal Asyn 0 3.2cos-zeros of p(x)

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## What are x-intercepts? Bounce

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N=m N>m=y=0 oblique nist higher We also discuss several other topics like What is the minus sign tells us?

- (x+3)2 (+12) (x)/x

Figure 1: Graph of P(x) If you want to learn more check out Why do we use bedding in structural analysis?

Exam 3 MW 2:30 PM Don't forget about the age old question of When is the the kkk of the 1920s reborn?

Name (Print): Michael Meric

## Wht are y-intercepts? Studyseven

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DIRECTIONS: Write your name clearly on the line above. Be as precise as you can in your answers. You must show all the work in order to receive full credit. Attempting a problem is encouraged and will usually result in some partial credit. We also discuss several other topics like What factors influence public opinion?

1. (a) Find a polynomial of lowest degree for which the graph would look like the graph

given in Figure 1.

1.- Even degree Don't forget about the age old question of Differentiate variable costing and absorption costing.

a

(negative)

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degree

facing down

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(b) Find a polynomial of lowest degree with real coefficients for which x = 2 - i is a

zero.

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C (-(2-1)(- (2:))

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x2 (2+1)x - (2-1) x + (2-1)(2+i) Y'ESADA 4 104 P(x) = (x2-4x+5 We also discuss several other topics like What is one-to-one functions?

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Fall 2014 747 3:23

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Vojislav Petrovic

Math 109

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2. Find all the zeros of the polynomial 2x+872 +7x+3. You must show all work for full

credit. Use of the calculator is for intuition, answer checking and simple calculations only. Answer:

13 12

7 3

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2.

T -22 74=21

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1-2 + 122-(4) (2) (1)

2(2)-4

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3. Compute the following long division:

627

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2x3 - 2x2 + 3x - 1

2x + 4

x2-3x + 7.5

2x - 2x + 3x - - (2x + 4x2)

- 6x + 3x - 1 - 6x2 - 12x

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2x+4

15% -1 -x +30

3. Consider the following rational function:

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220

3x - 2

f(x) =

-3.- 4

(a) What (if any) are vertical asymptotes?

x - 3x-4

x=-||

.+1)=0/8= 4

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work

(b) What (if any) is the horizontal asymptote?

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Fall 2014

Math 109

Vojislav Petrovie

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x2 +2

2x2-3x-2

h

2-4 or 2x-450 2x = 4 + 2 = 13

grudh

Figure 2: Graph of f(x)

(c) What are x-intercepts? y-intercept?

/ X-interceptas, 2 TY intercepts=05

-2 = 5= yintercept

OUR 2032-36)-2

(0)-360)-4

f(3999) =-3598; f (4.001) = 34901.9;

asrétabs =(666) J

(d) Determine limz4+ f(x), limz+4-f(x), lime--1- f(x) limx-_-1+ f(x), and sketch

the graph by using the coordinate system provided in Figure 2.

fel.oo)=601,28; 064

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x 4

f(x)

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4. The number N of long-distance phone calls per month (in million) between two cities

varies jointly as the populations P1 and P2 of the two citites (in million), and inversely as the distance between the two cities. If the number of long-distance phone calls is 30, for two cities of size 5 and 10 that are 180 miles apart, how many long-distance phone calls per month will be made between two cities of sixes 12 and 8 that are 300 miles apart?

19

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10 15 2700

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=30.180-1854

140.453-30-40-s

190

750

3600

= 24

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