1. College Algebra K/DC Monday, 14 September 2015 OBJECTIVE TSW identify polynomials and their characteristics. ASSIGNMENT DUE TOMORROW, 09/15/2015 – Sec. R.3: PP. 28-29 (1-9 ALL, 11-22 ALL, 27-37 ALL ) QUIZ: Mean, Median, Mode, Range, Absolute Value will be tomorrow, 09/15/2014. TODAY’S ASSIGNMENT DUE MONDAY, 09/15/2014 – Sec. R.3: p. 31 (11-28 all, 33-42 all) 1

2. College Algebra K/DC Monday, 14 September 2015 OBJECTIVE TSW identify polynomials and their characteristics. ASSIGNMENT DUE TOMORROW, 09/15/2015 – Sec. R.3: PP. 28-29 (1-9 ALL, 11-22 ALL, 27-37 ALL ) QUIZ: Mean, Median, Mode, Range, Absolute Value will be tomorrow, 09/15/2015. 2

3. WS Mean, Median, Mode Answers 1)a)125)a)40.61 b)13b)40.2 c)no modec)43.4 2)a)44.086)a)6' 4" b)42b)Barry: 6' 4" c)no modeFL So: 6' 4" d)94c)Barry's mean 3) height is taller by 0.09". d)#12, #20, #30 4)a)83 b)median = 66, no mode 25.62519 22.214 21.221 Pittsburgh Montreal New YorkMontrealPittsburgh MontrealNew York

4. 2-4 PolynomialsSec. R.3:

5. 2-5 Polynomials A polynomial is an algebraic expression with a single term or group of terms with only whole- number exponents on the variable. polynomials not polynomials  2x 2 + 3x 5x 4 10 (can be written as 10x 0 )

6. 2-6 Polynomials The degree of a polynomial is the highest exponent. 4x 3  2x 2  3x + 7 Degree = 3 5y 4 + 2y 3 + y 6 Degree = 6 If a polynomial has more than one variable, the degree is the largest sum of the exponents for any one term. 14a 4 b 3 + 9a 7 b – 4ab 4 Degree = 8

7. 2-7 Polynomials The coefficient of a term is the number in front of the variable.  13x 3 coefficient is –13 x 4 coefficient is 1

8. 2-8 Polynomials The leading coefficient of a polynomial is the coefficient with the term of the highest degree. 4x 3  6x 2 + 8x + 10 leading coefficient is 4

9. 2-9 Properties of Exponents n times

10. 10 Find each product. Using the Product Rule (a) (b) Commutative and associative properties Product rule

11. 11 (a) Simplify. Assume all variables represent nonzero real numbers. Using the Power Rules (b)

12. 12 Simplify. Assume all variables represent nonzero real numbers. Using the Power Rules (c) (d)

13. 13 Simplify. Assume all variables represent nonzero real numbers. Using the Power Rules

14. 2-14 Using the Definition of a 0 Evaluate each power. (a) 8 0 = 1 (b) –8 0 = –1 (c) (–8) 0 = 1 (d) –(– 8) 0 = –1 (e) (–3b 8 ) 0 = 1, b ≠ 0

15. Today’s Assignment (Monday, 09/14/15) Sec. R.3: PP. 28-29 (1-9 ALL, 11-22 ALL, 27-37 ALL ) –This assignment is due tomorrow, 15 September 2015. 15