By Ron Larson, Robert P. Hostetler
This market-leading textual content maintains to supply scholars and teachers with sound, always established factors of the mathematical recommendations. Designed for a two-term direction, the hot 7th version keeps the beneficial properties that experience made Algebra and Trigonometry an entire resolution for either scholars and teachers: attention-grabbing purposes, state of the art layout, and leading edge expertise mixed with an abundance of conscientiously written workouts.
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Extra info for Algebra and Trigonometry (7th Edition)
Simplify complex fractions and rewrite difference quotients. Domain of an Algebraic Expression The set of real numbers for which an algebraic expression is defined is the domain of the expression. Two algebraic expressions are equivalent if they have the same domain and yield the same values for all numbers in their domain. For instance, ͑x ϩ 1͒ ϩ ͑x ϩ 2͒ and 2x ϩ 3 are equivalent because ͑x ϩ 1͒ ϩ ͑x ϩ 2͒ ϭ x ϩ 1 ϩ x ϩ 2 ϭxϩxϩ1ϩ2 Why you should learn it Rational expressions can be used to solve real-life problems.
R (a) Factor the expression for the volume. (b) From the result of part (a), show that the volume of concrete is 2͑average radius͒͑thickness of the tank͒h. 157. Rewrite u6 Ϫ v6 as the difference of two squares. Then find a formula for completely factoring u 6 Ϫ v 6. Use your formula to factor x 6 Ϫ 1 and x 6 Ϫ 64 completely. 5 RATIONAL EXPRESSIONS What you should learn • Find domains of algebraic expressions. • Simplify rational expressions. • Add, subtract, multiply, and divide rational expressions.
The principal square root of 25, written as Ί25, is the positive root, 5. The principal nth root of a number is defined as follows. Principal nth Root of a Number Let a be a real number that has at least one nth root. The principal nth root of a is the nth root that has the same sign as a. It is denoted by a radical symbol n a. Ί Principal nth root The positive integer n is the index of the radical, and the number a is the radicand. 2 a. ) A common misunderstanding is that the square root sign implies both negative and positive roots.
Algebra and Trigonometry (7th Edition) by Ron Larson, Robert P. Hostetler