Name: __________________________________
Use the following to help you gain a better understanding of the following topics in chapter 7.
Topic
Adding and Multiplying Polynomials
(Section 7.0)
Factoring quadratics
(Section 7.0)
Completing the square and the
Quadratic Formula 1
(Section 7.3 and 7.4)
The imaginary unit i
(Section 7.5)
Complex Numbers
(Section 7.5)
Completing the square and the quadratic formula 2
(Section 7.5)
Video
Terms and coefficients and exponents in a polynomial
Addition and subtraction of polynomials
Multiplying polynomials example
Multiplying polynomials example 2
Factoring quadratic expressions
Examples: Factoring simple quadratics
Solving a quadratic equation by factoring
Recognizing a perfect square quadratic
Example 1: Factoring trinomials with a common factor
Solving quadratics by factoring 2
Factoring special products
Example 1: Factoring difference of squares
Factoring difference of squares 3
Solving quadratic equations by square roots
Solving quadratic equations by completing the square
How to use the quadratic formula
Introduction to i and imaginary numbers
Calculating i to arbitrary exponents
Imaginary roots of negative numbers i as the principal root of -1
Introduction to complex numbers
Plotting complex numbers on the complex plane
Adding complex numbers
Subtracting complex numbers
Multiplying complex numbers
Complex Conjugates example
Dividing complex numbers
Example: Complex roots for a quadratic
Discriminant of quadratic equations
Discriminant for types of solutions for a quadratic
Khan Academy – Test Preparation
Exercise
Adding and subtracting polynomials
Multiplying polynomials
Factoring quadratics 1
Solving quadratics by factoring
Factoring quadratics 2
Factoring difference of squares 1
None
Solving quadratics by taking the square roots
Solving quadratics by completing the square 1
Solving quadratics by completing the square 2
Using the quadratic formula
Imaginary unit powers
None
The imaginary unit and complex numbers
The complex plane
Adding and subtracting complex numbers
Multiplying complex numbers
Dividing complex numbers
Quadratic formula with complex solutions
Solutions to quadratic equations

Topic
Dividing Polynomials
(Section 7.8)
Synthetic Division
(Section 7.8)
Video
Polynomial division
Polynomial divided by monomial
Dividing multivariable polynomial with monomial
Dividing polynomials 1
Dividing polynomials with remainders example
Synthetic division
Synthetic division example 2
Why synthetic division works
Factoring and roots of higher degree polynomials
(Section 7.7)
Identifying graph based on roots
Polynomial graphs and end behavior
(Section 7.7)
Fundamental Theorem of Algebra
(Section 7.6-7.8)
Polynomial end behavior
Polynomial end behavior example
Another polynomial end behavior example
Polynomial end behavior exercises example
Fundamental theorem of algebra
Fundamental theorem of algebra for quadratics
Possible number of real roots
Other Websites that are Helpful:
Rational Root Theorem (Section 7.8) http://hotmath.com/help/gt/genericalg2/section_6_9.html
Long Division, Synthetic Division, Factor Theorem (Section 7.8) http://hotmath.com/help/gt/genericalg1/section_7_3.html
http://hotmath.com/help/gt/genericalg2/section_6_8.html
Exercises
Dividing polynomials with remainders
None
Using zeros to graph polynomials
Graphs of polynomials
The fundamental theorem of algebra