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Math Algebra College Algebra

College Algebra 1st Edition, Jay Abramson

College Algebra - 1st Edition - by Jay Abramson - ISBN 9781938168383

College Algebra
1st Edition
Jay Abramson
Publisher: OpenStax
ISBN: 9781938168383

Solutions for College Algebra

Chapter

Section

Problem 1TI:

Factor x(b2a)+6(b2a) by pulling out the GCF.

Problem 2TI:

Factor x27x+6 .

Problem 3TI:

Factor. 2x2+9x+9 6x2+x1

Problem 4TI:

Factor 49x214x+1

Problem 5TI:

Factor 81y2100 .

Problem 6TI:

Factor the sum of cubes: 216a3+b3. .

Problem 7TI:

Factor the difference of cubes: 1,000x31 .

Problem 8TI:

Factor 2(5a1)34+7a(5a1)14 .

Problem 1SE:

If the terms of a polynomial do not have a GCF, does that mean it is not factorable? Explain.

Problem 2SE:

A polynomial is factorable, but it is not a perfect square trinomial or a difference of two squares....

Problem 3SE:

How do you factor by grouping?

Problem 4SE:

For the following exercises, find the greatest common factor 4. 14x+4xy18xy2

Problem 5SE:

For the following exercises, find the greatest common factor. 5. 49mb235m2ba+77ma2

Problem 6SE:

For the following exercises, find the greatest common factor. 6. 30x3y45x2y2+135xy3

Problem 7SE:

For the following exercises, find the greatest common factor. 7. 200p3m330p2m3+40m3

Problem 8SE:

For the following exercises, find the greatest common factor. 8. 36j4k218j3k3+54j2k4

Problem 9SE:

For the following exercises, find the greatest common factor. 9. 6y42y3+3y2y

Problem 10SE:

For the following exercises, factor by grouping. 10. 6x2+5x4

Problem 11SE:

For the following exercises, factor by grouping. 11. 2a2+9a18

Problem 12SE:

For the following exercises, factor by grouping. 12. 6c2+41c+63

Problem 13SE:

For the following exercises, factor by grouping. 13. 6n219n11

Problem 14SE:

For the following exercises, factor by grouping. 14. 20w247w+24

Problem 15SE:

For the following exercises, factor by grouping. 15. 2p25p7

Problem 16SE:

For the following exercises, factor the polynomial. 16. 7x2+48x7

Problem 17SE:

For the following exercises, factor the polynomial. 17. 10h29h9

Problem 18SE:

For the following exercises, factor the polynomial. 18. 2b225b247

Problem 19SE:

For the following exercises, factor the polynomial. 19. 9d273d+8

Problem 20SE:

For the following exercises, factor the polynomial. 20. 90v2181v+90

Problem 21SE:

For the following exercises, factor the polynomial. 21. 12t2+t13

Problem 22SE:

For the following exercises, factor the polynomial. 22. 2n2n15

Problem 23SE:

For the following exercises, factor the polynomial. 23. 16x2100

Problem 24SE:

For the following exercises, factor the polynomial. 24. 25y2196

Problem 25SE:

For the following exercises, factor the polynomial. 25. 121p2169

Problem 26SE:

For the following exercises, factor the polynomial. 26. 4m29

Problem 27SE:

For the following exercises, factor the polynomial. 27. 361d281

Problem 28SE:

For the following exercises, factor the polynomial. 28. 324x2121

Problem 29SE:

For the following exercises, factor the polynomial. 29. 144b225c2

Problem 30SE:

For the following exercises, factor the polynomial. 30. 16a28a+1

Problem 31SE:

For the following exercises, factor the polynomial. 31. 49n2+168n+144

Problem 32SE:

For the following exercises, factor the polynomial. 32. 121x288x+16

Problem 33SE:

For the following exercises, factor the polynomial. 33. 225y2+120y+16

Problem 34SE:

For the following exercises, factor the polynomial. 34. m220m+100

Problem 35SE:

For the following exercises, factor the polynomial. 35. 25p2120p+144

Problem 36SE:

For the following exercises, factor the polynomial. 36. 36q2+60q+25

Problem 37SE:

For the following exercises, factor the polynomial. 37. x3+216

Problem 38SE:

For the following exercises, factor the polynomial. 38. 27y38

Problem 39SE:

For the following exercises, factor the polynomial. 39. 125a3+343

Problem 40SE:

For the following exercises, factor the polynomial. 40. b38d3

Problem 41SE:

For the following exercises, factor the polynomial. 40. 64x3125

Problem 42SE:

For the following exercises, factor the polynomial. 42. 729q3+1331

Problem 43SE:

For the following exercises, factor the polynomial. 43. 125r3+1,728s3

Problem 44SE:

For the following exercises, factor the polynomial. 44. 4x(x1)23+3(x1)13

Problem 45SE:

For the following exercises, factor the polynomial. 45. 3c(2c+3)145(2c+3)34

Problem 46SE:

For the following exercises, factor the polynomial. 46. 3t(10t+3)13+7(10t+3)43

Problem 47SE:

For the following exercises, factor the polynomial. 47. 14x(x+2)25+5(x+2)35

Problem 48SE:

For the following exercises, factor the polynomial. 49. 9y(3y13)152(3y13)65

Problem 49SE:

For the following exercises, factor the polynomial. 49. 5z(2z9)32+11(2z9)12

Problem 50SE:

For the following exercises, factor the polynomial. 50. 6d(2d+3)16+5(2d+3)56

Problem 51SE:

For the following exercises, consider this scenario: Charlotte has appointed a chairperson to lead a...

Problem 52SE:

REAL-WORLD APPLICATIONS Charlotte has appointed a chairperson to lead a city beautification project....

Problem 53SE:

For the following exercises, consider this scenario: Charlotte has appointed a chairperson to lead a...

Problem 54SE:

For the following exercise, consider the following scenario: A school is installing a flagpole in...

Problem 55SE:

For the following exercises, factor the polynomials completely. 56. 16x4200x2+625

Problem 56SE:

For the following exercises, factor the polynomials completely. 56. 81y4256

Problem 57SE:

For the following exercises, factor the polynomials completely. 57. 16z42,401a4

Problem 58SE:

For the following exercises, factor the polynomials completely. 58. 5x(3x+2)24+(12x+8)32

Problem 59SE:

For the following exercises, factor the polynomials completely. 59. (32x3+48x2162x243)1

Browse All Chapters of This Textbook

Chapter 1 - Prerequisites Chapter 1.1 - Real Numbers: Algebra Essentials Chapter 1.2 - Exponents And Scientific Notaion Chapter 1.3 - Radicals And Rational Expressions Chapter 1.4 - Polynomials Chapter 1.5 - Factoring Polynomials Chapter 1.6 - Rational Expressions Chapter 2 - Equations And Inequalities Chapter 2.1 - The Rectangular Coordinate Systems And Graphs Chapter 2.2 - Linear Equations In One Variable

Chapter 2.3 - Models And Applications Chapter 2.4 - Complex Numbers Chapter 2.5 - Quadratic Equations Chapter 2.6 - Other Types Of Equations Chapter 2.7 - Linear Inequalities And Absolute Value Inequalities Chapter 3 - Functions Chapter 3.1 - Functions And Function Notation Chapter 3.2 - Domain And Range Chapter 3.3 - Rates Of Change And Behavior Of Graphs Chapter 3.4 - Composition Of Functions Chapter 3.5 - Transformation Of Functions Chapter 3.6 - Absolute Value Functions Chapter 3.7 - Inverse Functions Chapter 4 - Linear Functions Chapter 4.1 - Linear Functions Chapter 4.2 - Modeling With Linear Functions Chapter 4.3 - Fitting Linear Models To Data Chapter 5 - Polynomial And Rational Functions Chapter 5.1 - Quardratic Functions Chapter 5.2 - Power Functions And Polynomial Functions Chapter 5.3 - Graphs Of Polynomial Functions Chapter 5.4 - Dividing Polynomials Chapter 5.5 - Zeros Of Polynomial Functions Chapter 5.6 - Rational Functions Chapter 5.7 - Inverses And Radical Functions Chapter 5.8 - Modeling Using Variation Chapter 6 - Exponential And Logarithmic Functions Chapter 6.1 - Exponential Functions Chapter 6.2 - Graphs Of Exponential Functions Chapter 6.3 - Logarithmic Functions Chapter 6.4 - Graphs Of Logarithmic Functions Chapter 6.5 - Logarithmic Properties Chapter 6.6 - Exponential And Logarithmic Equations Chapter 6.7 - Exponential And Logarithmic Models Chapter 6.8 - Fitting Exponential Models To Data Chapter 7 - Systems Of Equations And Inequalities Chapter 7.1 - Systems Of Linear Equations: Two Variables Chapter 7.2 - Systems Of Linear Equations: Three Variables Chapter 7.3 - Systems Of Nonlinear Equations And Inequalities: Two Variables Chapter 7.4 - Partial Fractions Chapter 7.5 - Matrices And Matrix Operations Chapter 7.6 - Solving Systems With Gaussian Elimination Chapter 7.7 - Solving Systems With Inverses Chapter 7.8 - Solving Systems With Cramer's Rule Chapter 8 - Analytic Geometry Chapter 8.1 - The Ellipse Chapter 8.2 - The Hyperbola Chapter 8.3 - The Parabola Chapter 8.4 - Rotation Of Axis Chapter 8.5 - Conic Sections In Polar Coordinates Chapter 9 - Sequences, Probability And Counting Theory Chapter 9.1 - Sequences And Their Notations Chapter 9.2 - Arithmetic Sequences Chapter 9.3 - Geometric Sequences Chapter 9.4 - Series And Their Notations Chapter 9.5 - Counting Principles Chapter 9.6 - Binomial Theorem Chapter 9.7 - Probability

Book Details

College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. College Algebra guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples - usually several dozen per chapter - offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. This is a full-color textbook.

Sample Solutions for this Textbook

We offer sample solutions for College Algebra homework problems. See examples below:

Chapter 1, Problem 1RE Chapter 2, Problem 1RE Chapter 3, Problem 1RE Chapter 4, Problem 1RE Chapter 5, Problem 1RE Chapter 6, Problem 1RE Chapter 7, Problem 1RE Chapter 8, Problem 1RE Chapter 9, Problem 1RE

More Editions of This Book

Corresponding editions of this textbook are also available below:

College Algebra By Openstax

ISBN: 9781506698229

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