Intermediate Algebra (11th edition)

326 CHAPTER 6 Factoring OBJECTIVES OBJECTIVE 1 Factor trinomials when the coefficient of the quadratic term is 1.We begin by fin ...

Factoring Trinomials in Form Factor each trinomial. (a)x^2 + 2 x- 35 EXAMPLE 1 x (^2) +bx+c SECTION 6.2 Factoring Trinomials 327 ...

Factoring a Trinomial with a Common Factor Factor Factor out the GCF, 16y. To factor look for two integers whose product is and ...

Factoring Trinomials in Form Factor each trinomial. (a) To factor this trinomial, we use an alternative method. The goal is to f ...

NOTE As shown in Example 6(b),if the terms of a polynomial have greatest com- mon factor 1, then none of the terms of its factor ...

NOTEThe factored form in Example 8can be written in other ways, such as and Verify that these both give the original trinomial w ...

332 CHAPTER 6 Factoring Complete solution available on the Video Resources on DVD 6.2 EXERCISES 1.Concept Check Which is nota va ...

Factor each trinomial. (Hint:Factor out the GCF first.) 53. 54. 55. 56. 57. 58. Factor each trinomial. See Example 11. ...

(d) We could have used the method of substitution here. (e) Factor the difference of squares. Factor the difference of squares a ...

(b) If this is a perfect square trinomial, it will equal By the pattern in the box, if multiplied out, this squared binomial has ...

(b) Difference of cubes Factor. (c) Difference of cubes Factor. = 110 k- 3 n 21100 k^2 + 30 kn+ 9 n^22 Multiply. NOW TRY = 110 k ...

(e) Sum of cubes = 1 x+ 2 +t 21 x^2 + 4 x+ 4 - xt- 2 t+ t^22 Multiply. NOW TRY = 31 x+ 22 + t 431 x+ 222 - 1 x+ 22 t+t^24 1 x+ 2 ...

16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. ...

In some cases, the method of factoring by grouping can be combined with the methods of spe- cial factoring discussed in this sec ...

340 CHAPTER 6 Factoring Factoring Out a Common Factor Factor each polynomial. EXAMPLE 1 (b) = 4 mp 12 mp + 12 (a) 8 m^2 p^2 + 4 ...

OBJECTIVE 3 Factor trinomials.Take the following into consideration. SECTION 6.4 A General Approach to Factoring 341 Factoring a ...

(c) Associative property Perfect square trinomial Difference of squares (d) Rearrange and group the terms. Factor each group. Fa ...

43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71.m^2 - 4 m+ 4 ...

To prove the zero-factor property, we first assume that (If adoes equal 0, then the property is proved already.) If then exists, ...

The steps for solving a quadratic equation by factoring are summarized here. SECTION 6.5 Solving Equations by Factoring 345 Solv ...