Chapter 5 Goals

[5.1] Know how to graph a parabola written in standard form by finding/plotting the vertex and several points on each side.
Tutorial 1 | Solutions
Tutorial 2 | Solutions

[5.1] Know how to graph a parabola written in vertex form.
Tutorial | Solutions

[5.2] Know how to factor these trinomials
Difference of two squares
Perfect square trinomials
Any trinomial written in standard form
Trinomials that have a common factor to take out first.
Tutorial 1 | Solutions
Tutorial 2 | Solutions

[5.2] Solve quadratic equations by factoring and using the zero-product property
Tutorial 1 | Solutions
Tutorial 2 | Solutions
Tutorial 3 | Solutions

[5.2] Use factoring to solve geometric applications, like problems 92-95
Tutorial 1 | Solutions
Tutorial 2 | Solutions

[5.3] Know how to simplify square roots
Know how to “rationalize the denominator”
Tutorial 1 | Solutions
Tutorial 2 | Solutions

[5.3] Know how to solve quadratic equations by square-rooting.
Tutorial 1 | Solutions
Tutorial 2 | Solutions

[5.4] Know how to add, subtract, and multiply complex numbers
Know how to plot and find the absolute value of complex numbers
Tutorial 1 | Solutions
Tutorial 2 | Solutions
Tutorial 3 | Solutions

[5.4] Know how to use the complex conjugate to simplify complex number fractions.
Know how to solve quadratic equations that involve square rooting negative numbers.
Tutorial | Solutions

[5.5] Know how to complete the square of a trinomial
Know how to solve quadratic equations by completing the square
Tutorial 1 | Solutions