Polynomial Functions
Warm Up: p.328 #1-12
5.1 Use Properties of Exponents
5.2 Evaluate and Simplify Algebraic Expressions
5.3 Add, Subtract, and Multiply polynomials
5.4 Factor and Solve Polynomial Equations
5.5 Apply the Remainder and Factor Theorem
5.6 Find Rational Zeros
5.7 Apply the fundamental Theorem of Algebra
5.8 Analyze Graphs of Polynomial Functions
5.9 Write Polynomial Functions and Models
5.1 Use Properties of Exponents
- I can evaluate numerical expressions
- I can evaluate functions by direct substitution and synthetic substitution
- I can simplify algebraic expressions
5.2 Evaluate and Simplify Algebraic Expressions
- I can identify polynomial functions
- I can simplify by combining like terms
- I understand the end behavior of polynomial functions
- I can graph polynomial functions and analyze the graph
5.3 Add, Subtract, and Multiply polynomials
- I can add polynomials vertically and horizontally
- I can subtract polynomials vertically and horizontally
- I can multiply polynomials vertically and horizontally
- I can multiply three binomials
- I can use special product patterns
- I can use polynomial models
5.4 Factor and Solve Polynomial Equations
- I can find a common monomial factor
- I can factor the sum and difference of two cubes
- I can factor by grouping
- I can factor polynomials completely
- I can write and solve a polynomial equation
5.5 Apply the Remainder and Factor Theorem
- I can use polynomial long division
- I can use synthetic division
- I can use synthetic division to factor a polynomial
5.6 Find Rational Zeros
- I can list possible rational zeroes
- I can find zeros when leading coefficient is 1
- I can find zeros when leading coefficient is not 1
- I can use a polynomial model to write and solve polynomial equations
5.7 Apply the fundamental Theorem of Algebra
- I can find the number of solutions or zeros
- I can find all the solutions of a polynomial function (Real and imaginary)
- I can used zeros to write a polynomial function
5.8 Analyze Graphs of Polynomial Functions
- I can use x-intercepts to graph a polynomial function
- I can find turning points
- I can maximize a polynomial model
5.9 Write Polynomial Functions and Models
- I can write a cubic function
Table of Contents:
- Syllabus
- 5.1 Notes
- 5.1 HW p.333 #1,3-36,40-42,50
- 5.2 Notes
- 5.2 HW p. 341 #1,3-9,13,15,17,20,22,24-36,50,54,55
- 5.3 Notes
- 5.3 HW p. 349 # 4,5,6,12,14,15,17,19,21,25-27,28,29,34,35,40,43
- Quiz from book p.352 #1-16
- 5.4 Notes
- 5.4 HW p. 356 #3-55odd, 60
- 5.5 Notes
- 5.5 HW p.367 #3-35odd,41
- 5.6 Notes
- 5.6 HW p.375 #3-45odd
- Quiz from book p.377 #1-13
- 5.7 Notes
- 5.7 HW p. 383 #3-49odd,53-55
- 5.8 Notes
- 5.8 HW p.390 #3-29,30,35,36,39
- 5.9 Notes
- 5.9 HW p.397 #3,4,6-10
- Quiz from book p.399 #1-12
- Chapter Review Questions p.403 #2,4,5-40
- Standardized Test Practice p.410 #3,6,7,11,12,13,15-18,20
- Extra Practice p.1014 #1-30
- Chapter 5 Unit Test