By Ron Larson, Robert P. Hostetler
This market-leading textual content keeps to supply scholars and teachers with sound, continually based factors of the mathematical strategies. Designed for a two-term direction, the recent 7th version keeps the beneficial properties that experience made Algebra and Trigonometry a whole resolution for either scholars and teachers: fascinating purposes, state-of-the-art layout, and cutting edge expertise mixed with an abundance of rigorously written workouts.
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Extra resources for Algebra and Trigonometry (7th Edition)
9. 10. In the exponential form an, n is the ________ and a is the ________. A convenient way of writing very large or very small numbers is called ________ ________. One of the two equal factors of a number is called a __________ __________ of the number. n a. The ________ ________ ________ of a number a is the nth root that has the same sign as a, and is denoted by Ί n a, the positive integer n is called the ________ of the radical and the number a is called In the radical form Ί the ________.
120. The sum of two binomials is always a binomial. 121. Find the degree of the product of two polynomials of degrees m and n. 122. Find the degree of the sum of two polynomials of degrees m and n if m < n. 123. WRITING A student’s homework paper included the following. ͑x Ϫ 3͒2 ϭ x 2 ϩ 9 Write a paragraph fully explaining the error and give the correct method for squaring a binomial. 124. CAPSTONE A third-degree polynomial and a fourth-degree polynomial are added. (a) Can the sum be a fourth-degree polynomial?
12 x 3 ϩ 2x 2 Ϫ 5x 21. 23 x͑x Ϫ 3͒ Ϫ 4͑x Ϫ 3͒ 18. 13 y ϩ 5 20. 13 y 4 Ϫ 5y 2 ϩ 2y 22. 45 y͑ y ϩ 1͒ Ϫ 2͑ y ϩ 1͒ In Exercises 23–32, completely factor the difference of two squares. 23. 25. 27. 29. 31. x2 Ϫ 81 48y2 Ϫ 27 16x 2 Ϫ 19 ͑x Ϫ 1͒ 2 Ϫ 4 9u2 Ϫ 4v 2 24. 26. 28. 30. 32. x 2 Ϫ 64 50 Ϫ 98z2 4 2 25 y Ϫ 64 25 Ϫ ͑z ϩ 5͒ 2 25x 2 Ϫ 16y 2 In Exercises 33–44, factor the perfect square trinomial. 33. 35. 37. 39. 41. 43. x 2 Ϫ 4x ϩ 4 4t 2 ϩ 4t ϩ 1 25y 2 Ϫ 10y ϩ 1 9u2 ϩ 24uv ϩ 16v 2 x 2 Ϫ 43x ϩ 49 4x2 Ϫ 43 x ϩ 19 34.