Algebra and Trigonometry: Real Mathematics Real People by Ron Larson

By Ron Larson

ALGEBRA AND TRIGONOMETRY: genuine arithmetic, actual humans, seventh variation, is a perfect scholar and teacher source for classes that require using a graphing calculator. the standard and volume of the workouts, mixed with fascinating purposes and cutting edge assets, make educating more straightforward and aid scholars prevail. holding the sequence’ emphasis on scholar help, chosen examples through the textual content contain notations directing scholars to earlier sections to check ideas and abilities had to grasp the cloth to hand. The e-book additionally achieves accessibility via cautious writing and design—including examples with specified recommendations that commence and finish at the comparable web page, which maximizes clarity. equally, side-by-side suggestions express algebraic, graphical, and numerical representations of the maths and aid various studying kinds. Reflecting its subtitle, this important revision focuses greater than ever on displaying scholars the relevance of arithmetic of their lives and destiny careers.

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A. com O + I = 6x − 5x = x b. 12x2 + 7x + 1 Remark Factoring a trinomial can involve trial and error. Once you have produced the factored form, however, it is an easy matter to check your answer. For instance, you can verify the factorization in Example 12 by multiplying (x − 3) by (x − 4) to see that you obtain the original trinomial, x2 − 7x + 12. 29 30 Chapter P Prerequisites Factoring by Grouping Sometimes polynomials with more than three terms can be factored by a method called factoring by grouping.

5 89. 01 × 106 90. 12 × 10−2 + √15 Using Properties of Radicals In Exercises 91–94, use the properties of radicals to simplify each expression. 4 3 20 3 91.  √ ) (−3x)4 3 40x5 √ 93. √12 ∙ √3 94. 3 2 √5x Simplifying a Radical Expression In Exercises 95–102, simplify each expression. 64. 65. √25 × 108 21 800 √ 2 3 32a 95. (a) √45 (b) b2 3 54 (b) 96. (a) √ √32x3y4 3 5 97. (a) √16x (b) √75x2y−4 4 3x4y2 (b) 5 160x8z4 98. (a) √ √ 99. (a) 2√50 + 12√8 (b) 10√32 − 6√18 100. (a) 5√x − 3√x (b) −2√9y + 10√y 101.

When is an expression involving radicals in simplest form? 678 × 103 written in scientific notation? Is 64 a perfect square, a perfect cube, or both? Procedures and Problem Solving Evaluating an Expression In Exercises 11–18, evaluate each expression. 32 11. (a) 3 ∙ 33 (b) 34 53 12. (a) 2 (b) 42 ∙ 42 5 6 13. (a) (43)0 (b) 6−3 14. (a) 24(−2)−5 (b) −70 15. (a) (4 ∙ 3)3 (b) (−32)3 3 2 2 16. (a) (2 ∙ 3 ) (b) (58 )2 17. (a) 2−1 + 3−1 (b) (3−1)−3 18. (a) 4 ∙ 3−2 (b) 3−1 + 2−2 2−2 ∙ 3−1 Evaluating an Expression In Exercises 19–24, evaluate the expression for the value of x.

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