# Algebra & Trigonometry by Cynthia Y. Young

By Cynthia Y. Young

Best popular & elementary books

Intermediate Algebra: An Applied Approach: Student Support Edition, 7th Edition

The scholar help variation of Intermediate Algebra: An utilized method, 7/e, brings accomplished research abilities help to scholars and the newest expertise instruments to teachers. additionally, this system now contains suggestion and vocabulary evaluation fabric, project monitoring and time administration assets, and perform workouts and on-line homework to augment scholar studying and guideline.

Precalculus : enhanced with graphing utilities

Arrange, perform, assessment The Sullivan’s time-tested method focuses scholars at the primary abilities they want for the direction: getting ready for sophistication, training with homework, and reviewing the innovations. the improved with Graphing Utilities sequence has developed to fulfill today’s direction wishes through integrating the use of graphing calculators, active-learning, and expertise in new how you can support scholars succeed of their direction, in addition to of their destiny endeavors.

Additional resources for Algebra & Trigonometry

Sample text

Recognize like terms. Learn formulas for special products. Adding and Subtracting Polynomials Polynomials in Standard Form The expressions 3x2 Ϫ 7x Ϫ 1 4y3 Ϫ y 5z are all examples of polynomials in one variable. A monomial in one variable, ax k, is the product of a constant and a variable raised to a nonnegative-integer power. The constant a is called the coefﬁcient of the monomial, and k is called the degree of the monomial. A polynomial is the sum of monomials. The monomials that are part of a polynomial are called terms.

8Ϫ2 18. 5 # 2Ϫ4 # 32 4. (Ϫ4)2 9. 90 14. 3Ϫ4 19. Ϫ6 # 3Ϫ2 # 81 5. Ϫ52 10. Ϫ8x0 15. Ϫ6 # 52 20. qxd 8/7/12 26 5:34 PM Page 26 C H A P T E R 0 Prerequisites and Review In Exercises 21–50, simplify and write the resulting expression with only positive exponents. 21. x2 # x3 22. y3 # y5 23. x2 xϪ3 24. y3 # yϪ7 25. (x2 ) 26. (y3)2 27. (4a)3 28. (4x2) 29. (Ϫ2t)3 30. (Ϫ3b)4 31. (5xy2) (3x3y) 3 33. x5 y3 34. 7 xy b -4 37. a b 2 41. 2 45. 42. y5 x2 35. -2 -5 y x (2xy)2 (- 2xy) Ϫ2 y-4 x5 46. 4 3 a2(- xy4) 4 (2x3) (y-1z) 3 2t x4(- a3 y2) 4 5 50.

Example 7 illustrates the difference of two squares and perfect squares. EXAMPLE 7 Find the following: Multiplying Binomials Resulting in Special Products a. (x Ϫ 5)(x ϩ 5) b. (x ϩ 5)2 c. (x Ϫ 5)2 Inner r Difference of two squares a. (x - 5)(x + 5) = x + 5x - 5x - 5 = 2 2 r r Outer Last s First r Solution: x2 - 52 = x2 - 25 Inner r r First b. (x + 5) = (x + 5)(x + 5) = x + 5x + 5x + 52 = x2 + 2(5x) + 52 = x2 + 10x + 25 2 2 r r Last Outer Inner r r First r r c. (x - 5)2 = (x - 5)(x - 5) = x2 - 5x - 5x + 52 = x2 - 2(5x) + 52 = x2 - 10x + 25 Outer Last Let a and b be any real number, variable, or algebraic expression in the following special products.