1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter6: Factoring
6.1 Greatest Common Factor And Factor By Grouping 6.2 Factor Trinomials 6.3 Factor Special Products 6.4 General Strategy For Factoring Polynomials 6.5 Polynomial Equations Chapter Questions Section6.1: Greatest Common Factor And Factor By Grouping
Problem 6.1TI: Find the greatest common factor: 25m4,35m3,20m2 . Problem 6.2TI: Find the greatest common factor: 14x3,70x2,105x . Problem 6.3TI: Factor: 9xy2+6x2y2+21y3 . Problem 6.4TI: Factor: 3p36p2q+9pq3 . Problem 6.5TI: Factor: 2x3+12x2 . Problem 6.6TI: Factor: 6y315y2 . Problem 6.7TI: Factor: 15x3y3x2y2+6xy3 . Problem 6.8TI: Factor: 8a3b+2a2b26ab3 . Problem 6.9TI: Factor: 4b3+16b28b . Problem 6.10TI: Factor: 7a3+21a214a . Problem 6.11TI: Factor: 4m(m+3)7(m+3) . Problem 6.12TI: Factor: 8n(n4)+5(n4) . Problem 6.13TI: Factor by grouping: xy+8y+3x+24 . Problem 6.14TI: Factor by grouping: ab+7b+8a+56 . Problem 6.15TI: Factor by grouping: (a) x2+2x5x10 (b ) 20x216x15x+12 . Problem 6.16TI: Factor by grouping: (a) y2+4y7y28 (b) 42m218m35m+15 . Problem 1E: In the following exercises, find the greatest common factor. 1. 10p3q,12pq2 Problem 2E: In the following exercises, find the greatest common factor. 2. 8a2b3,10ab2 Problem 3E: In the following exercises, find the greatest common factor. 3. 12m2n3,30m5n3 Problem 4E: In the following exercises, find the greatest common factor. 4. 28x2y4,42x4y4 Problem 5E: In the following exercises, find the greatest common factor. 5. 10a3,12a2,14a Problem 6E: In the following exercises, find the greatest common factor. 6. 20y3,28y2,40y Problem 7E: In the following exercises, find the greatest common factor. 7. 35x3y2,10x4y,5x5y3 Problem 8E: In the following exercises, find the greatest common factor. 8. 27p2q3,45p3q4,9p4q3 Problem 9E: In the following exercises, factor the greatest common factor from each polynomial. 9. 6m+9 Problem 10E: In the following exercises, factor the greatest common factor from each polynomial. 10. 14p+35 Problem 11E: In the following exercises, factor the greatest common factor from each polynomial. 11. 9n63 Problem 12E: In the following exercises, factor the greatest common factor from each polynomial. 12. 45b18 Problem 13E: In the following exercises, factor the greatest common factor from each polynomial. 13. 3x2+6x9 Problem 14E: In the following exercises, factor the greatest common factor from each polynomial. 14. 4y2+8y4 Problem 15E: In the following exercises, factor the greatest common factor from each polynomial. 15. 8p2+4p+2 Problem 16E: In the following exercises, factor the greatest common factor from each polynomial. 16. 10q2+14q+20 Problem 17E: In the following exercises, factor the greatest common factor from each polynomial. 17. 8y3+16y2 Problem 18E: In the following exercises, factor the greatest common factor from each polynomial. 18. 12x310x Problem 19E: In the following exercises, factor the greatest common factor from each polynomial. 19. 5x315x2+20x Problem 20E: In the following exercises, factor the greatest common factor from each polynomial. 20. 8m240m+16 Problem 21E: In the following exercises, factor the greatest common factor from each polynomial. 21. 24x312x2+15x Problem 22E: In the following exercises, factor the greatest common factor from each polynomial. 22. 24y318y230y Problem 23E: In the following exercises, factor the greatest common factor from each polynomial. 23.... Problem 24E: In the following exercises, factor the greatest common factor from each polynomial. 24.... Problem 25E: In the following exercises, factor the greatest common factor from each polynomial. 25.... Problem 26E: In the following exercises, factor the greatest common factor from each polynomial. 26.... Problem 27E: In the following exercises, factor the greatest common factor from each polynomial. 27. 2x4 Problem 28E: In the following exercises, factor the greatest common factor from each polynomial. 28. 3b+12 Problem 29E: In the following exercises, factor the greatest common factor from each polynomial. 29. 2x3+18x28x Problem 30E: In the following exercises, factor the greatest common factor from each polynomial. 30. 5y3+35y215y Problem 31E: In the following exercises, factor the greatest common factor from each polynomial. 31.... Problem 32E: In the following exercises, factor the greatest common factor from each polynomial. 32.... Problem 33E: In the following exercises, factor the greatest common factor from each polynomial. 33.... Problem 34E: In the following exercises, factor the greatest common factor from each polynomial. 34. 2x(x1)+9(x1) Problem 35E: In the following exercises, factor the greatest common factor from each polynomial. 35. 3b(b2)13(b2) Problem 36E: In the following exercises, factor the greatest common factor from each polynomial. 36. 6m(m5)7(m5) Problem 37E: In the following exercises, factor by grouping. 37. ab+5a+3b+15 Problem 38E: In the following exercises, factor by grouping. 38. cd+6c+4d+24 Problem 39E: In the following exercises, factor by grouping. 39. 8y2+y+40y+5 Problem 40E: In the following exercises, factor by grouping. 40. 6y2+7y+24y+28 Problem 41E: In the following exercises, factor by grouping. 41. uv9u+2v18 Problem 42E: In the following exercises, factor by grouping. 42. pq10p+8q80 Problem 43E: In the following exercises, factor by grouping. 43. u2u+6u6 Problem 44E: In the following exercises, factor by grouping. 44. x2x+4x4 Problem 45E: In the following exercises, factor by grouping. 45. 9p23p20 Problem 46E: In the following exercises, factor by grouping. 46. 16q28q35 Problem 47E: In the following exercises, factor by grouping. 47. mn6m4n+24 Problem 48E: In the following exercises, factor by grouping. 48. r23rr+3 Problem 49E: In the following exercises, factor by grouping. 49. 2x214x5x+35 Problem 50E: In the following exercises, factor by grouping. 50. 4x236x3x+27 Problem 51E: In the following exercises, factor. 51. 18xy227x2y Problem 52E: In the following exercises, factor. 52. 4x3y5x2y3+12xy4 Problem 53E: In the following exercises, factor. 53. 3x37x2+6x14 Problem 54E: In the following exercises, factor. 54. x3+x2x1 Problem 55E: In the following exercises, factor. 55. x2+xy+5x+5y Problem 56E: In the following exercises, factor. 56. 5x33x2+5x3 Problem 57E: What does it mean to say a polynomial is in factored form? Problem 58E: How do you check result after factoring a polynomial? Problem 59E: The greatest common factor of 36 and 60 is 12. Explain what this means. Problem 60E: What is the GCF of y4, y5, and y10? Write a general rule that tells you how to find the GCF of ya,... Problem 6.3TI: Factor: 9xy2+6x2y2+21y3 .
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Integrate the following functions
Transcribed Image Text: 4. S
x³+2x+2
x²-1
2
dx
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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