Beginning Algebra, 11th Edition

68.Concept Check A student factored as follows. The student could not find a common factor of the two terms. WHAT WENT WRONG? Co ...

OBJECTIVE 1 Factor trinomials with a coefficient of 1 for the second- degree term. When factoring polynomials with integer coeff ...

Factoring a Trinomial with All Positive Terms Factor Look for two integers whose product is 14 and whose sum is 9. List pairs of ...

Factoring a Trinomial with Two Negative Terms Factor Find two integers whose product is and whose sum is Because the con- stant ...

Factoring a Trinomial with Two Variables Factor Here, the coefficient of zin the middle term is so we need to find two expressio ...

6.Concept Check InExercise 5,what must be true of aand bif the coefficient of the con- stant term is positive? 7.What is meant b ...

56. 57. 58. 59. 60. 61. 62. Brain Busters Factor each polynomial. 13 m-n 2 k^2 - 1313 m-n 2 k+ 4013 m ...

NOTE In the preceding example, we could have written 7xas rather than as 3 x+ 4 x.Factoring by grouping would give the same answ ...

Factoring a Trinomial with a Common Factor by Grouping Factor Factor out the greatest common factor, To factor find two integers ...

NOTE In Example 4,we might also realize that our initial attempt to factor as cannotbe correct, since the terms of have a common ...

SECTION 6.3 More on Factoring Trinomials^377 Factoring a Trinomial with a Negative Constant Term by Using FOIL Factor The intege ...

This leads to the completely factored form. CHECK FOIL; Combine like terms. = 15 y^3 + 55 y^2 + 30 y ✓ Distributive property = 5 ...

9.Concept Check Which pair of integers would be used to rewrite the middle term when one is factoring by grouping? A. 3 B.8, C. ...

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. 72. 73. 74. ...

For example, The following conditions must be true for a binomial to be a difference of squares. 1.Both terms of the binomial mu ...

382 CHAPTER 6 Factoring and Applications Factoring Differences of Squares Factor each difference of squares. (a) (b) Write each ...

On the one hand, a necessary condition for a trinomial to be a perfect square is that two of its terms be perfect squares.For th ...

(b) Twice First Last term term (c) The first and last terms are perfect squares. and Twice the product of the first and last ter ...

Notice the pattern of the terms in the factored form of (a binomial factor)(a trinomial factor) The binomial factor has the dif ...

OBJECTIVE 4 Factor a sum of cubes. A sum of squares, such as cannot be factored by using real numbers, but a sum of cubescan. m^ ...