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Tussy and Gustafson - Interm. Algebra (HC) 4/e (Homework)

James Finch

Math - Developmental, Fall 2010

Instructor: Dr. Friendly

Current Score: 18/18

Due: Tuesday, December 14, 2010 18:54 EST

About this Assignment

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Question

Points

1	2	3	4	5	6	7	8
8	1	2	1	3	1	1	1

Total

18/18

Description

Create your course assignments by selecting questions from our bank of 1500 end-of-section exercises, as well as enhanced interactive examples with videos.

While doing their homework, students can link to the relevant interactive examples from the book and work through them again and again for additional practice before answering the question.

Students can view and hear additional instruction through the 2-5 minute Watch It links. Students will also find helpful links to online excerpts from their textbook, online-live help, tutorials, and videos.

Read It - relevant textbook pages

- videos of worked examples

Practice It - interactive examples

Master It - tutorials

Chat About It - online, live help

In this assignment we present several textbook question types found in Chapter 5 on exponents, polynomials, and polynomial functions in Intermediate Algebra 4/e by Alan S. Tussy and R. David Gustafson published by Brooks/Cole.

Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.

1. 8/8 points All Submissions Notes Question: TGInterAlgH4 5.3.028.

Question part

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1	1	1	1	1	1	1	1
1/50	1/50	1/50	1/50	1/50	1/50	1/50	2/50

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8/8

(a) Complete the table of values.

$f(x) = -x^{2} + {\color{red}3} x + {\color{red}4}$

x	f(x)
-2	Enter an exact number. 1
-1	Enter an exact number. 2
0	Enter an exact number. 3
1	Enter an exact number. 4
2	Enter an exact number. 5
3	Enter an exact number. 6
4	Enter an exact number. 7

(b) Graph the polynomial function.

Flash Player version 10 or higher is required for this question.
You can get Flash Player free from Adobe's website.

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2. 1/1 points All Submissions Notes Question: TGInterAlgH4 5.3.083.

Question part

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1
1
1/50

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1/1

During a performance, a juggler tosses one ball straight upward while continuing to juggle three others. The height f(t), in feet, of the ball is given by the polynomial function f(t) = -16t² + 27t + 5, where t is the time in seconds since the ball was thrown. Find the height of the ball 1 second after it is tossed upward.

feet

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3. 2/2 points All Submissions Notes Question: TGInterAlgH4 5.6.E06.

Question part

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Submissions

1	2
1	1
1/50	1/50

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2/2

EXAMPLE 6

Factor: 3p² - 4p - 4

Strategy

We will assume that this trinomial is the product of two binomials. To find their terms, we will make educated guesses and then check them using multiplication.

Why

Since the terms of the trinomial do not have a common factor (other than 1), the only option is to try to factor it as the product of two binomials.

Solution

To factor the trinomial, we note that the first terms of the binomial factors must be 3p and p to give the first term of 3p².

The second terms of the binomials must be two integers whose product is -4. There are three such pairs:1(-4), -1(4), and -2(2). When these pairs are entered, and then reversed, as second terms of the binomials, there are six possibilities to consider.

	-12p	3p
*For 1 and -4:*	(3p + 1)(p - 4)	(3p - 4)(p + 1)
	p	-4p

	-12p + p = -11p	3p + (- 4p) = -p

	12p	-3p
*For -1 and 4:*	(3p - 1)(p + 4)	(3p + 4)(p - 1)
	-p	4p

	12p + (-p) = 11p	-3p + 4p = p

	6p	-6p
*For -2 and 2:*	(3p - 2)(p + 2)	(3p + 2)(p - Enter a number. 1)
	-2p	2p

	6p + (-2p) = 4p	-6p + 2p = -4p

Of these possibilities, only the one in blue gives the required middle term of -4p. Thus,

3p² - 4p - 4 = (3p + 2)(p - 2)

Self Check 6

Factor: 3q² - 10q - 25

<math><mrow><mfenced close=')' open='('><mn>3</mn><mi>q</mi><mo>+</mo><mn>5</mn></mfenced><mfenced close=')' open='('><mi>q</mi><mo>-</mo><mn>5</mn></mfenced></mrow></math>

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4. 1/1 points All Submissions Notes Question: TGInterAlgH4 5.6.030.

Question part

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1
1
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1/1

Factor the trinomial.

c² - 10c + 25

<math><mrow><mfenced close=')' open='('><mi>c</mi><mo>-</mo><mn>5</mn></mfenced><mfenced close=')' open='('><mi>c</mi><mo>-</mo><mn>5</mn></mfenced></mrow></math>

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5. 3/3 points All Submissions Notes Question: TGInterAlgH4 5.1.014.

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1	2	3
1	1	1
1/50	1/50	1/50

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3/3

Complete the simplification.

= (a^{Answer is not case sensitive.

1})²
= a^{Answer is not case sensitive.

2}

=	Answer is not case sensitive. 3

	a¹²

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6. 1/1 points All Submissions Notes Question: TGInterAlgH4 5.2.035.

Question part

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1
1
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1/1

Write the number below in standard notation.

7.86

10^-3

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7. 1/1 points All Submissions Notes Question: TGInterAlgH4 5.5.048.

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1/1

Factor the polynomial by factoring out the opposite of the GCF.

-15t⁵ + 20t³

<math><mrow><mo>-</mo><mn>5</mn><msup><mi>t</mi><mn>3</mn></msup><mfenced close=')' open='('><mn>3</mn><msup><mi>t</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mfenced></mrow></math>

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8. 1/1 points All Submissions Notes Question: TGInterAlgH4 5.8.020.

Question part

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1
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1/1

Factor if possible. (If the expression is not factorable, enter PRIME.)

64x⁹ - y³

<math><mrow><mfenced open='(' close=')'><mn>4</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>y</mi></mfenced><mfenced open='(' close=')'><mn>16</mn><msup><mi>x</mi><mn>6</mn></msup><mo>+</mo><mn>4</mn><msup><mi>x</mi><mn>3</mn></msup><mi>y</mi><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup></mfenced></mrow></math>

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