Trigonometry plus MyLab Math with Pearson eText -- Access Card Package (11th Edition)
11th Edition
ISBN: 9780134307008
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Chapter A, Problem 40E
To determine
To calculate: The solution of the provided equation
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One of the factors of 2x3 + 42x² + 208x is x + b, where b is a positive constant. What is the
smallest possible value of b?
Answer Preview:
fill in
Complete the square; factor out the leading coefficient first. For example, in
and
4x² - 5x+
2x² + 3x+
=
4(x-
2(x+
)².
)².
3x² + 3x +
= 3(x +
3
3x² + 3x + = 3(x² + x +
4
(1)
= 3(x+
1/².
The length of a rectangle is
(3x + 4)
ft. The width is
(x − 5)
ft. Find the area of the rectangle in terms of the variable x. (Simplify your answer completely.)
Chapter A Solutions
Trigonometry plus MyLab Math with Pearson eText -- Access Card Package (11th Edition)
Ch. A - Concept Check Fill in the blank to correctly...Ch. A - Concept Check Fill in the blank to correctly...Ch. A - Prob. 3ECh. A - Concept Check Fill in the blank to correctly...Ch. A - Concept Check Fill in the blank to correctly...Ch. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10E
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - Prob. 25ECh. A - Prob. 26ECh. A - Prob. 27ECh. A - Prob. 28ECh. A - Prob. 29ECh. A - Concept Check Use choices A–D to answer each...Ch. A - Prob. 31ECh. A - Prob. 32ECh. A - Solve each equation using the zero-factor...Ch. A - Prob. 34ECh. A - Prob. 35ECh. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42ECh. A - Prob. 43ECh. A - Prob. 44ECh. A - Prob. 45ECh. A - Prob. 46ECh. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56ECh. A - Prob. 57ECh. A - Prob. 58ECh. A - Prob. 59ECh. A - Prob. 60ECh. A - Prob. 61ECh. A - Prob. 62ECh. A - Prob. 63ECh. A - Prob. 64ECh. A - Prob. 65ECh. A - Concept Check Match the inequality in each...Ch. A - Prob. 67ECh. A - Prob. 68ECh. A - Prob. 69ECh. A - Prob. 70ECh. A - Prob. 71ECh. A - Prob. 72ECh. A - Prob. 73ECh. A - Prob. 74ECh. A - Prob. 75ECh. A - Prob. 76ECh. A - Prob. 77ECh. A - Prob. 78ECh. A - Prob. 79ECh. A - Prob. 80ECh. A - Prob. 81ECh. A - Prob. 82ECh. A - Prob. 83ECh. A - Prob. 84ECh. A - Prob. 85ECh. A - Solve each inequality Give the solution set in...Ch. A - Prob. 87ECh. A - Prob. 88ECh. A - Prob. 89ECh. A - Solve each inequality Give the solution set in...
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- A fence is to be installed around a rectangular field. The field's perimeter is 224 feet. Find the dimensions of the field if the length of the field is 6 feet more than the width, as shown in the figure to the right. (Use P=2L+2W.) W+6arrow_forwardSolve EXACTLY like the example attached. Show all steps.arrow_forwardFactor each polynomial completely. Show your complete solution. 1. x* + 5x3 + 5x? - 5x – 6 2. 2x3 - x2 - 18x +9 3. x5 + 5x* - 8x3 - 48x? 4. x* - 5x + 9x? - 7x + 2 5. 12x* + 17x³ - 22x2 - 13x +6 6. 2x5 - 3x - 44x + 23x2 + 102x + 40 7. 12x5 + 40x* – 153x - 253x² + 69x + 45 8. 6x + 7x2 – 14x – 15 9. x* + 8x + 22x2 + 24x + 9 10. 18x* - 99x³ +109x2 - 16arrow_forward
- If the quadratic expression 2x2 - 8x + 2 is written in the completed square form a(x + r)2 + s, what is the value of s?arrow_forwardDo this.Groupingarrow_forwardard form quadratic. Fill in the blanks below to create expressions that are able to be factored. Then, factor your expressions. x2 + 8x + Factored: x + 2x Factored:arrow_forward
- The area of a parallelogram can be expressed as the binomial 2x2 − 10x.Which of the following could be the length of the base and the height ofthe parallelogram?arrow_forwardPlease factor and show your steps.arrow_forwardThe rectangle has an unshaded square inside it. The area of the shaded region is 31 square units. Write and solve an equation that could be used to find x. 3x + 4 2x - 1 x + 2arrow_forward
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