Study Guide for EXAM 1 Appendix I and Chapter 1 (1.1-1.4) Math 106, Fall 2011 APPENDIX I Language, Notation, and Numbers of Mathematics Sets of numbers and graphing real numbers Order property of real numbers Absolute value of a real number- (piecewise) definition, & geometric interpretation Practice Exercises pp. A7 (19, 21, 23, 25, 31, 33, 35) Exponents, Scientific Notation and a Review of Polynomials Properties of exponents Addition, subtraction and product of polynomials Special polynomial products Binomial conjugates: 22 ()()ABABAB Binomial squares: 222 ()2ABAABB Practice Exercises pp. A21 (17, 25, 31, 35, 37, 43, 105, 109) Factoring Polynomials Factoring the greatest common factor and factoring by grouping Factoring quadratic polynomials Factoring special forms and quadratic forms Difference of squares: 22()() ABABABPerfect-square trinomial:2222()AABBABand222 2()AABBAB. Practice Exercises pp. A30 (21, 25, 29, 33, 37, 43, 55, 57) Rational Expressions Writing a rational expression in simplest form Multiply and divide rational expressions

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