1. Warm - Up Factor each of the following polynomials. 1.x 2 + 7x + 102.x 2 – 25 3.3x 2 + 18x + 154.3x + 15

2. Unit 1: Rational Expressions Lesson 1: Factoring and Simplifying NC Goal 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems

3. Performance Standards TLW… 1.Factor polynomials. 2.Simplify rational expressions by factoring and canceling like terms in the numerator and the denominator. Essential Questions 1.What is a rational expression? 2.How do you factor to simplify a rational expression?

4. 1.What is a rational expression? A rational expression is a fraction that contains a polynomial in the numerator and the denominator. Ex. x 2 + 7x + 10 x 2 – 25

5. 2. How do you factor to simplify a rational expression? 1.Factor the numerator 2.Factor the denominator 3.Cancel *You can only cancel through multiplication! Example #1 Simplify x 2 + 7x + 10 x 2 – 25

6. Example #2 Simplify 3x 2 + 18x + 15 1. Factor out a GCF 3x + 15 2. Factor 3. Cancel

7. Example #3 Simplify 2x 2 + 13x + 15 1. Multiply 1 st and last term 8x + 12 2. Write the expression without the coefficient of x 2 and with the new last term 3. Factor 4. Put the coefficient back in front of each x 5. Find any GCFs 6. Cancel

8. You Try 1.x 2 - 6x + 82. 3x 2 - 7x - 6 x 2 - 3x – 4 x 2 - 3x – 4

9. Work Time Answers

10. Closure Pre-Test Connections: #s