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Math Trigonometry Algebra and Trigonometry

Algebra and Trigonometry 1st Edition, Jay Abramson

Algebra and Trigonometry - 1st Edition - by Jay Abramson - ISBN 9781938168376

Algebra and Trigonometry
1st Edition
Jay Abramson
Publisher: OpenStax
ISBN: 9781938168376

Solutions for Algebra and Trigonometry

Chapter

Section

Problem 1TI:

Identify the degree, leading term, and leading coefficient of the polynomial 4x2x6+2x6 .

Problem 2TI:

Find the sum. (2x3+5x2x+1)+(2x23x4)

Problem 3TI:

Find the difference. (7x37x2+6x2)(4x36x2x+7)

Problem 4TI:

Find the product. (3x+2)(x34x2+7)

Problem 5TI:

Use FOIL to find the product. (x+7)(3x5)

Problem 6TI:

Problem 7TI:

Multiply (2x+7)(2x7) .

Problem 8TI:

Multiply (3x1)(2x+7y9) .

Problem 1SE:

Evaluate the following statement: The degree of a polynomial in standard form is the exponent of the...

Problem 2SE:

Many times, multiplying two binomials with two variables results in a trinomial. This is not the...

Problem 3SE:

You can multiply polynomials with any number of terms and any number of variables using four basic...

Problem 4SE:

State whether the following statement is true and explain why or why not: A trinomial is always a...

Problem 5SE:

For the following exercises, identify the degree of the polynomial. 5. 7x2x2+13

Problem 6SE:

For the following exercises, identify the degree of the polynomial. 6. 14m3+m216m+8

Problem 7SE:

For the following exercises, identify the degree of the polynomial. 7. 625a8+16b4

Problem 8SE:

For the following exercises, identify the degree of the polynomial. 8. 200p30p2m+40m3

Problem 9SE:

For the following exercises, identify the degree of the polynomial. 9. x2+4x+4

Problem 10SE:

For the following exercises, identify the degree of the polynomial. 10. 6y4y5+3y4

Problem 11SE:

For the following exercises, find the sum or difference. 11. (12x2+3x)(8x219)

Problem 12SE:

For the following exercises, find the sum or difference. 12. (4z3+8z2z)+(2z2+z+6)

Problem 13SE:

For the following exercises, find the sum or difference. 13. (6w2+24w+24)(3w6w+3)

Problem 14SE:

For the following exercises, find the sum or difference. 14. (7a3+6a24a13)+(3a34a2+6a+17)

Problem 15SE:

For the following exercises, find the sum or difference. 15. (11b46b3+18b24b+8)(3b3+6b2+3b)

Problem 16SE:

For the following exercises, find the sum or difference. 16. (49p225)+(16p432p2+16)

Problem 17SE:

For the following exercises, find the sum or difference. 17. (4x+2)(6x4)

Problem 18SE:

For the following exercises, find the product. 18. (14c2+4c)(2c23c)

Problem 19SE:

For the following exercises, find the product. 19. (6b26)(4b24)

Problem 20SE:

For the following exercises, find the product. 20. (3d5)(2d+9)

Problem 21SE:

For the following exercises, find the product. 21. (9v11)(11v9)

Problem 22SE:

For the following exercises, find the product. 22. (4t2+7t)(3t2+4)

Problem 23SE:

For the following exercises, find the product. 23. (8n4)(n2+9)

Problem 24SE:

For the following exercises, expand the binomial. 24. (4x+5)2

Problem 25SE:

For the following exercises, expand the binomial. 25. (3y7)2

Problem 26SE:

For the following exercises, expand the binomial. 26. (124x)2

Problem 27SE:

For the following exercises, expand the binomial. 27. (4p+9)2

Problem 28SE:

For the following exercises, expand the binomial. 28. (2m3)2

Problem 29SE:

For the following exercises, expand the binomial 29. (3y6)2

Problem 30SE:

For the following exercises, expand the binomial. 30. (9b+1)2

Problem 31SE:

For the following exercises, multiply the binomials. 31. (4c+1)(4c1)

Problem 32SE:

For the following exercises, multiply the binomials. (9a4)(9a+4)

Problem 33SE:

For the following exercises, multiply the binomials. 33. (15n6)(15n+6)

Problem 34SE:

For the following exercises, multiply the binomials 34. (25b+2)(25b2)

Problem 35SE:

For the following exercises, multiply the binomials. 35. (4+4m)(44m)

Problem 36SE:

For the following exercises, multiply the binomials. 36. (14p+7)(14p7)

Problem 37SE:

For the following exercises, multiply the binomials. 37. (11q10)(11q+10)

Problem 38SE:

For the following exercises, multiply the polynomials 38. (2x2+2x+1)(4x1)

Problem 39SE:

For the following exercises, multiply the polynomials 39. (4t2+t7)(4t21)

Problem 40SE:

For the following exercises, multiply the polynomials. 40. (x1)(x22x+1)

Problem 41SE:

For the following exercises, multiply the polynomials. 41. (y2)(y24y9)

Problem 42SE:

For the following exercises, multiply the polynomials. 42. (6k5)(6k2+5k1)

Problem 43SE:

For the following exercises, multiply the polynomials. 43. (3p2+2p10)(p1)

Problem 44SE:

For the following exercises, multiply the polynomials. 44. (4m13)(2m27m+9)

Problem 45SE:

For the following exercises, multiply the polynomials. 45. (a+b)(ab)

Problem 46SE:

For the following exercises, multiply the polynomials. 46. (4x6y)(6x4y)

Problem 47SE:

For the following exercises, multiply the polynomials. 47. (4t5u)2

Problem 48SE:

For the following exercises, multiply the polynomials. 48. (9m+4n1)(2m+8)

Problem 49SE:

For the following exercises, multiply the polynomials. 49. (4tx)(tx+1)

Problem 50SE:

For the following exercises, multiply the polynomials. 50. (b21)(a2+2ab+b2)

Problem 51SE:

For the following exercises, multiply the polynomials. 51. (4rd)(6r+7d)

Problem 52SE:

For the following exercises, multiply the polynomials. 52. (x+y)(x2xy+y2)

Problem 53SE:

A developer wants to purchase a plot of land to build a house. The area of the plot can be described...

Problem 54SE:

A prospective buyer wants to know how much grain a specific silo can hold. The area of the floor of...

Problem 55SE:

For the following exercises, perform the given operations. 55. (4t7)2(2t+1)(4t2+2t+11)

Problem 56SE:

For the following exercises, perform the given operations. 56. (3b+6)(3b6)(9b236)

Problem 57SE:

For the following exercises, perform the given operations. 57. (a2+4ac+4c2)(a24c2)

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 - The Unit Circle: Sine And Cosine Functions Chapter 7.1 - Angles Chapter 7.2 - Right Triangle Trigonometry Chapter 7.3 - Unit Circle Chapter 7.4 - The Other Trigonometric Functions Chapter 8 - Periodic Functions Chapter 8.1 - Graphs Of The Sine And Cosine Functions Chapter 8.2 - Graphs Of The Other Trigonometric Functions Chapter 8.3 - Inverse Trigonometric Functions Chapter 9 - Trigonometric Identities And Equations Chapter 9.1 - Solving Trigonometric Equations With Identities Chapter 9.2 - Sum And Difference Identities Chapter 9.3 - Double-angle, Half-angle, And Reduction Formulas Chapter 9.4 - Sum-to-product And Product-to-sum Formulas Chapter 9.5 - Solving Trigonometric Equations Chapter 10 - Further Applications Of Trigonometry Chapter 10.1 - Non-right Triangles: Law Of Sines Chapter 10.2 - Non-right Triangles: Law Of Cosines Chapter 10.3 - Polar Coordinates Chapter 10.4 - Polar Coordinates: Graphs Chapter 10.5 - Polar Form Of Complex Numbers Chapter 10.6 - Parametric Equations Chapter 10.7 - Parametric Equations: Graphs Chapter 10.8 - Vectors Chapter 11 - Systems Of Equations And Inequalities Chapter 11.1 - Systems Of Linear Equations: Two Variables Chapter 11.2 - Systems Of Linear Equations: Three Variables Chapter 11.3 - Systems Of Nonlinear Equations And Inequalities: Two Variables Chapter 11.4 - Partial Fractions Chapter 11.5 - Matrices And Matrix Operations Chapter 11.6 - Solving Systems With Gaussian Elimination Chapter 11.7 - Solving Systems With Inverses Chapter 11.8 - Solving Systems With Cramer's Rule Chapter 12 - Analytic Geometry Chapter 12.1 - The Ellipse Chapter 12.2 - The Hyperbola Chapter 12.3 - The Parabola Chapter 12.4 - Rotation Of Axis Chapter 12.5 - Conic Sections In Polar Coordinates Chapter 13 - Sequences, Probability And Counting Theory Chapter 13.1 - Sequences And Their Notations Chapter 13.2 - Arithmetic Sequences Chapter 13.3 - Geometric Sequences Chapter 13.4 - Series And Their Notations Chapter 13.5 - Counting Principles Chapter 13.6 - Binomial Theorem Chapter 13.7 - Probability

Book Details

Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry 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. Algebra and Trigonometry 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 Algebra and Trigonometry 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

Chapter 10, Problem 1RE Chapter 11, Problem 1RE Chapter 12, Problem 1RE Chapter 13, Problem 1RE

More Editions of This Book

Corresponding editions of this textbook are also available below:

Algebra And Trigonometry By Openstax

17th Edition

ISBN: 9781506698007

ALGEBRA & TRIGONOMETRY

ISBN: 9781711494043

ALGEBRA AND TRIGONOMETRY

ISBN: 9781711494036

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