By Ron Larson
This market-leading textual content keeps to supply scholars and teachers with sound, always based motives of the mathematical strategies. Designed for a two-term direction, the hot 8th version keeps the beneficial properties that experience made Algebra and Trigonometry a whole answer for either scholars and teachers: fascinating purposes, state-of-the-art layout, and cutting edge know-how mixed with an abundance of conscientiously written routines.
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Extra resources for Algebra and Trigonometry (Eighth Edition)
250 Reaction time distance Braking distance Distance (in feet) 225 200 175 150 125 100 75 EXPLORATION TRUE OR FALSE? In Exercises 119 and 120, determine whether the statement is true or false. Justify your answer. 119. The product of two binomials is always a seconddegree polynomial. 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.
A) ͑4yϪ2͒͑8y4͒ 43. (a) 3n 44. (a) и 32n x 2 и xn x 3 и xn (b) ͑2x 2͒Ϫ2 (b) ͑z ϩ 2͒Ϫ3͑z ϩ 2͒Ϫ1 x Ϫ1 (b) 10 xϪ3y 4 Ϫ3 (b) 5 aϪ2 b 3 (b) bϪ2 a aϪ3 a 3 (b) bϪ3 b 26 Chapter P Prerequisites In Exercises 45–52, write the number in scientific notation. 4 46. 000125 48. 0000899 gram per cubic centimeter 52. 00003937 inch 45. 47. 49. 50. 51. In Exercises 53– 60, write the number in decimal notation. 53. 25 ϫ 105 54. 801 ϫ 105 Ϫ3 55. 718 ϫ 10 56. 14 ϫ 10Ϫ4 57. 5 ϫ 107 degrees Celsius 58.
Factor. Rewrite 64 as 43. Factor. 40 Chapter P Prerequisites Trinomials with Binomial Factors To factor a trinomial of the form ax 2 ϩ bx ϩ c, use the following pattern. Factors of a ax2 ϩ bx ϩ c ϭ ͑x ϩ ͒͑x ϩ ͒ Factors of c The goal is to find a combination of factors of a and c such that the outer and inner products add up to the middle term bx. For instance, in the trinomial 6x 2 ϩ 17x ϩ 5, you can write all possible factorizations and determine which one has outer and inner products that add up to 17x.
Algebra and Trigonometry (Eighth Edition) by Ron Larson