By Ronald J. Harshbarger, James J. Reynolds

MATHEMATICAL purposes FOR THE administration, existence, AND SOCIAL SCIENCES, tenth version, is meant for a two-semester utilized calculus or mixed finite arithmetic and utilized calculus path. The book's concept-based technique, a number of presentation equipment, and engaging and correct purposes continue scholars who ordinarily take the course--business, economics, existence sciences, and social sciences majors--engaged within the fabric. This version broadens the book's real-life context by means of including a couple of environmental technology and monetary purposes. using modeling has been improved, with modeling difficulties now basically categorized within the examples. additionally incorporated within the 10th variation is a quick evaluation of algebra to arrange scholars with diverse backgrounds for the fabric in later chapters.

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Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 5 Operations with Algebraic Expressions 31 Product of Two Polynomials Procedure Example To multiply two polynomials: 1. Write one of the polynomials above the other.

Write all answers without using exponents. 1. (24)4 2. 253 3. 226 4. (22)5 5. 322 6. 621 3 2 7. 2a b 2 2 3 8. a b 3 Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

For example, we can rationalize the numerator of 3 " 4x2 3x 3 by multiplying the numerator and denominator by " 2x, which creates a perfect cube under the radical: Checkpoint solutions 3 3 3 " 4x2 # " 2x " 8x3 2x 2 5 5 5 3 3 3 3 3x "2x 3x "2x 3x"2x 3"2x 1. Only even roots of negatives are not real numbers. Thus part (b) "264 and part 8 (f ) " 21 are not real numbers. 1 1 3 5 2 1y3 2. (a) x 5 " x, x2y5 5 " x , x 23y2 5 3y2 5 x "x3 1 1 4 3 (b) " x 5 x3y4, 5 1y2 5 x 21y2 x "x 3 3 3. 32867 4. (a) x ?