Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter7: Factoring
7.1 Greatest Common Factor And Factor By Grouping 7.2 Factor Quadratic Trinomials With Leading Coefficient 1 7.3 Factor Quadratic Trinomials With Leading Coefficient Other Than 1 7.4 Factor Special Products 7.5 General Strategy For Factoring Polynomials 7.6 Quadratic Equations Chapter Questions Section7.1: Greatest Common Factor And Factor By Grouping
Problem 7.1TI: Find the GCF of 48 and 80. Problem 7.2TI: Find the GCF of 18 and 40. Problem 7.3TI: Find the GCF: 12x2,18x3 . Problem 7.4TI: Find the GCF: 12y2,24y3 . Problem 7.5TI: Find the GCF: 6ab4,8a2b . Problem 7.6TI: Find the GCF: 9m5n2,12m3n . Problem 7.7TI: Find the greatest common factor: 25m4,35m3,20m2 . Problem 7.8TI: Find the greatest common factor: 14x3,70x2,105x . Problem 7.9TI: Factor: 6a+24 . Problem 7.10TI: Factor: 2b+14 . Problem 7.11TI: Factor: 14x+14 . Problem 7.12TI: Factor: 12p+12 . Problem 7.13TI: Factor: 18u36 . Problem 7.14TI: Factor: 30y60 . Problem 7.15TI: Factor: 5x225x+15 . Problem 7.16TI: Factor: 3y212y+27 . Problem 7.17TI: Factor: 2x3+12x2 . Problem 7.18TI: Factor: 6y315y2 . Problem 7.19TI: Factor: 20x310x2+14x . Problem 7.20TI: Factor: 24y312y220y . Problem 7.21TI: Factor: 9xy2+6x2y2+21y3 . Problem 7.22TI: Factor: 3p36p2q+9pq3 . Problem 7.23TI: Factor: 16z64 . Problem 7.24TI: Factor: 9y27 . Problem 7.25TI: Factor: 4b2+16b . Problem 7.26TI: Factor: 7a2+21a . Problem 7.27TI: Factor: 4m(m+3)7(m+3) . Problem 7.28TI: Factor: 8n(n4)+5(n4) . Problem 7.29TI: Factor: xy+8y+3x+24 . Problem 7.30TI: Factor: ab+7b+8a+56 . Problem 7.31TI: Factor: x2+2x5x10 . Problem 7.32TI: Factor: y2+4y7y28 . Problem 1E: In the following exercises, find the greatest common factor. 1. 8, 18 Problem 2E: In the following exercises, find the greatest common factor. 2. 24, 40 Problem 3E: In the following exercises, find the greatest common factor. 3. 72, 162 Problem 4E: In the following exercises, find the greatest common factor. 4. 150, 275 Problem 5E: In the following exercises, find the greatest common factor. 5. 10a, 50 Problem 6E: In the following exercises, find the greatest common factor. 6. 5b, 30 Problem 7E: In the following exercises, find the greatest common factor. 7. 3x,10x2 Problem 8E: In the following exercises, find the greatest common factor. 8. 21b2,14b Problem 9E: In the following exercises, find the greatest common factor. 9. 8w2,24w3 Problem 10E: In the following exercises, find the greatest common factor. 10. 30x2,18x3 Problem 11E: In the following exercises, find the greatest common factor. 11. 10p3q,12pq2 Problem 12E: In the following exercises, find the greatest common factor. 12. 8a2b3,10ab2 Problem 13E: In the following exercises, find the greatest common factor. 13. 12m2n3,30m5n3 Problem 14E: In the following exercises, find the greatest common factor. 14. 28x2y4,42x4y4 Problem 15E: In the following exercises, find the greatest common factor. 15. 10a3,12a2,14a Problem 16E: In the following exercises, find the greatest common factor. 16. 20y3, 28y2, 40y Problem 17E: In the following exercises, find the greatest common factor. 17. 35x3,10x4,5x5 Problem 18E: In the following exercises, find the greatest common factor. 18. 27p2,45p3,9p4 Problem 19E: In the following exercises, factor the greatest common factor from each polynomial. 19. 4x+20 Problem 20E: In the following exercises, factor the greatest common factor from each polynomial. 20. 8y+16 Problem 21E: In the following exercises, factor the greatest common factor from each polynomial. 21. 6m+9 Problem 22E: In the following exercises, factor the greatest common factor from each polynomial. 22. 14p+35 Problem 23E: In the following exercises, factor the greatest common factor from each polynomial. 23. 9q+9 Problem 24E: In the following exercises, factor the greatest common factor from each polynomial. 24. 7r+7 Problem 25E: In the following exercises, factor the greatest common factor from each polynomial. 25. 8m8 Problem 26E: In the following exercises, factor the greatest common factor from each polynomial. 26. 4n4 Problem 27E: In the following exercises, factor the greatest common factor from each polynomial. 27. 9n63 Problem 28E: In the following exercises, factor the greatest common factor from each polynomial. 28. 45b18 Problem 29E: In the following exercises, factor the greatest common factor from each polynomial. 29. 3x2+6x9 Problem 30E: In the following exercises, factor the greatest common factor from each polynomial. 30. 4y2+8y4 Problem 31E: In the following exercises, factor the greatest common factor from each polynomial. 31. 8p2+4p+2 Problem 32E: In the following exercises, factor the greatest common factor from each polynomial. 32. 10q2+14q+20 Problem 33E: In the following exercises, factor the greatest common factor from each polynomial. 33. 8y3+16y2 Problem 34E: In the following exercises, factor the greatest common factor from each polynomial. 34. 12x310x Problem 35E: In the following exercises, factor the greatest common factor from each polynomial. 35. 5x315x2+20x Problem 36E: In the following exercises, factor the greatest common factor from each polynomial. 36. 8m240m+16 Problem 37E: In the following exercises, factor the greatest common factor from each polynomial. 37.... Problem 38E: In the following exercises, factor the greatest common factor from each polynomial. 38.... Problem 39E: In the following exercises, factor the greatest common factor from each polynomial. 39. 2x4 Problem 40E: In the following exercises, factor the greatest common factor from each polynomial. 40. 3b+12 Problem 41E: In the following exercises, factor the greatest common factor from each polynomial. 41.... Problem 42E: In the following exercises, factor the greatest common factor from each polynomial. 42. 2x(x1)+9(x1) Problem 43E: In the following exercises, factor the greatest common factor from each polynomial. 43. 3b(b2)13(b2) Problem 44E: In the following exercises, factor the greatest common factor from each polynomial. 44. 6m(m5)7(m5) Problem 45E: In the following exercises, factor by grouping. 45. xy+2y+3x+6 Problem 46E: In the following exercises, factor by grouping. 46. mn+4n+6m+24 Problem 47E: In the following exercises, factor by grouping. 47. uv9u+2v18 Problem 48E: In the following exercises, factor by grouping. 48. pq10p+8q80 Problem 49E: In the following exercises, factor by grouping. 49. b2+5b4b20 Problem 50E: In the following exercises, factor by grouping. 50. m2+6m12m72 Problem 51E: In the following exercises, factor by grouping. 51. p2+4p9p36 Problem 52E: In the following exercises, factor by grouping. 52. x2+5xx15 Problem 53E: In the following exercises, factor. 53. 20x10 Problem 54E: In the following exercises, factor. 54. 5x3x2+x Problem 55E: In the following exercises, factor. 55. 3x27x2+6x14 Problem 56E: In the following exercises, factor. 56. x3+x2x1 Problem 57E: In the following exercises, factor. 57. x2+xy+5x+5y Problem 58E: In the following exercises, factor. 58. 5x33x25x3 Problem 59E: Area of a rectangle The area of a rectangle with length 6 less than the width is given by the... Problem 60E: Height of a baseball The height of a baseball t seconds after it is hit is given by the expression... Problem 61E: The greatest common factor of 36 and 60 is 12. Explain what this means. Problem 62E: What is the GCF of y4,y5 , and y10 ? Write a general rule that tells you how to find the GCF of ya ,... Problem 7.21TI: Factor: 9xy2+6x2y2+21y3 .
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Find or evaluate the integral by completing the square. (Use C for the constant of integration .)
Transcribed Image Text: dx
9x2- 18x 36
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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