CHAPTER 7 SECTION 2 Algebra 2 Notes ~ April 13, 2009 Chapter 6 Notebook Quiz 1. When you divide two polynomials and end up with a remainder of 0, what can you say about both the Quotient and the Divisor? (6.3; April 3) 2. When you’re solving a polynomial, what are you solving for? (6.4; April 6) 3. What is the formula for the sum of cubes? (6.4; April 6) 4. What does the rational root theorem say? (6.5; April 7) Notebook Quiz Answers 1. They are both factors of the dividend. 2. The x-intercepts 3. 4. All possible solutions are in the form p/q where p is all the factors of the constant and q is all the factors of the leading coefficient. Homework #47 Answers 1) 15, -15 2) 0.07, -0.07 3) none 5) -4 6) 0.5 9) 2, -2 10) none 13) 6 14) -6 15) no real root 16) 0.6 17) -4 18) -4 19) -3 20) no real root 21) 6 22) 23) 24) 25) -4a 26) 0.6 27) -4 28) -4 29) 1.34 in 30) 1.68 ft 38) a. 35 ft b. 20 ft 39) 0.5 40) 1/3 41) 0.2 42) 1/4 Making Your Tables: 2 3 4 5 6 7 8 9 10 Multiplying Radicals RULE: If and EXAMPLES: are real numbers, then One of These Things is Not Like the Other… Which of these products is not possible? Simplifying Radical Expressions Simplify – EXAMPLES: Multiplying Radical Expressions Multiply and Simplify – EXAMPLES: Dividing Radical Expressions RULE: If and then, EXAMPLES: are real numbers and Rationalizing the Denominator Rewrite a fraction so there are no radicals in the denominator!!! EXAMPLES: Homework #48 Page 377 #1, 2, 5, 6, 9, 10, 13, 14, 17, 18, 23, 26, 27, 29, 31, 32, 35