Quadratic and Polynomial Functions

Solving Quadratic Equations by Factoring

• Solving an equation written in factored form
• Roots of a product of polynomials
• Writing a quadratic equation given the roots and the leading coefficient

Quadratic Functions

• Graphing a parabola of the form y equals ax-squared plus bx plus c - Rational coefficients
• Using a graphing calculator to find the x-intercepts and vertex of a quadratic function
• Word problem involving the maximum or minimum of a quadratic function
• Classifying the graph of a function

Introduction to Radicals

• Square root of a rational perfect square
• Cube root of an integer
• Simplifying the square root of a whole number less than 100
• Square root multiplication - Advanced

Complex Numbers

• Using i to rewrite square roots of negative numbers
• Simplifying a product and quotient involving square roots of negative numbers
• Adding or subtracting complex numbers
• Multiplying complex numbers
• Dividing complex numbers
• Simplifying a power of i

Square Root Property

• Solving a quadratic equation using the square root property - Exact answers, basic
• Solving a quadratic equation using the square root property - Exact answers advanced

Completing the Square and the Quadratic Formula

• Solving a quadratic equation by completing the square - Exact answers
• Applying the quadratic formula - Exact answers
• Solving a quadratic equation with complex roots
• Discriminant of a quadratic equation
• Discriminant of a quadratic equation with parameter

Quadratic Inequalities

• Solving a quadratic inequality
• Graphing a quadratic inequality - Problem type 1
• Graphing a quadratic inequality - Problem type 2

Polynomial Functions

• Finding zeros of a polynomial function written in factored form
• Finding a polynomial of a given degree with given zeros - Real zeros
• Determining the end behavior of the graph of a polynomial function
• Matching graphs with polynomial functions
• Inferring properties of a polynomial function from its graph
• Using a graphing calculator to find local extrema of a polynomial function

Remainder and Factor Theorems

• Using the remainder theorem to evaluate a polynomial
• The Factor Theorem

Real Zeros of Polynomial Functions

• Finding all possible rational zeros using the rational zeros theorem - Problem type 1
• Finding all possible rational zeros using the rational zeros theorem - Problem type 2
• Using the rational zeros theorem to find all zeros of a polynomial - Rational zeros
• Using the rational zeros theorem to find all zeros of a polynomial - Irrational zeros
• Using a graphing calculator to find zeros of a polynomial function
• Using a graphing calculator to solve a word problem involving a polynomial of degree 3

Complex Zeros of Polynomial Functions

• Multiplying expressions involving complex conjugates
• Finding a polynomial of a given degree with given zeros - Complex zeros
• Using the rational zeros theorem to find all zeros of a polynomial - Complex zeros