Polynomial Functions
| Site: | REMC 8 / Kent ISD Moodle VLE |
| Course: | Algebra II - Staublin |
| Book: | Polynomial Functions |
| Printed by: | Guest user |
| Date: | Monday, May 20, 2024, 2:45 PM |
Table of contents
- Intro to Polynomials
- End behavior, linear factors, x-intercepts, multiplicity
- Review - zeros, multiplicities
- Polynomial and Synthetic Division
- Polynomial Remainder Theorem
- Solving Polynomial Equations by Graphing
- Solve Polynomial Equations by Factoring
- Summary and Review
- Rational Root Theorem and the Fundamental Theorem of Algebra
Intro to Polynomials
Assignment
- 6-1: 1-12, 22-23, 25-31, 33-57 triples (classify by degree and # terms), 59
Resources
- 6-1 Answer Key
- On-line tutor: phschool.com, age-0601
- On-line practice quiz: phschool.com, aga-0601
End behavior, linear factors, x-intercepts, multiplicity
Assignment
- 6-2: 3-11 odds, 13-16, 18-36 evens, 39-41, 43-53 odds
Resources
On-line tutor: phschool.com, age-0602
On-line practice quiz: phschool.com, aga-0602
Review - zeros, multiplicities
Think you know how to determine zeros and multiplicities of a polynomial function? Test yourself with this review sheet.
Polynomial and Synthetic Division
more to come....
Assignment
-
6-3: 9-12, 13-21 odds, 23-25, 48-51, 66-70 even
Resources
- 6-3 Answer Key
-
On-line tutor: phschool.com, age-0603
-
On-line practice quiz: phschool.com, aga-0603
-
“Long Division” video
-
“Long Division Style” video
Polynomial Remainder Theorem
more to come....
Solving Polynomial Equations by Graphing
To solve polynomial equations by graphing, use your calculator:
- Enter left side of equation into y1.
- Enter right side of equation into y2.
- Graph your equations, select a window size to fit.
- Use the "Calculate" menu by pressing [2nd][TRACE], choose "Intersect" to find solutions.
Assignment
- Solving Polynomial Equations by Graphing worksheet (all circled problems)
- Solving Polynomial Equations worksheet (all circled problems)
- Try these on-line practice problems with instant feedback!
- Regents Prep: Examining Graphs of Polynomial Equations of Higher Degree
- SOS Math: Finding Root of Polynomials Graphically and Numerically
- Regents Prep: Applied Practice with Multiplying Polynomials
Resources
- Solving Polynomial Equation by Graphing worksheet ANSWER KEY
- Solving Polynomial Equations worksheet ANSWER KEY
- On-line tutor: phschool.com, age-0603, age-0604
- On-line practice quiz: phschool.com, aga-0603, aga-0604
- Purple Math: Solving quadratic equations by graphing
Calculator screen-shot of example 2.
Solve Polynomial Equations by Factoring
Assignment
- Solving Polynomial Equations worksheet (all circled problems)
Resources
Virtual Nerd: How do you use a polynomial equation to solve a word problem?
The image below shows how to factor quartic trinomials that have the same form as quadratic trinomials.
Rational Root Theorem and the Fundamental Theorem of Algebra
The Rational Root Theorem gives a process to identify possible real roots of a polynomial.
The Fundamental Theorem of Algebra tells us how many roots a polynomial will have, and the possible combinations of real and complex roots.