The quadratic formula is the only method that will solve all quadratic equations. If you only learn one method, this is the one!
Below is an example.
Below is an example.
Quadratics Homework #1
First Period Factoring Review and Practice
Before we get into solving quadratic equations, we take a minute to review how to simplify radical expressions. Later in this course we will get into working with radical functions but for now, we just need to know how to simplify radicals.
The following document is your homework.
Quadratics Homework 2
SOLVING QUADRATIC EQUATIONS
We begin to solve quadratic equations at this point. Remember that solutions of quadratics are the points at which the graph of the quadratic (parabola) intersects the x axis. These point are called "solutions, zeros, roots, or x intercepts." They all mean the same thing, they are the solutions to a quadratic equation.
The first method we will use is solving by factoring.
Step 1 - rewrite the equation so that it equals 0 (if needed)
Step 2 - factor the polynomial completely
Step 3 - set each factor equal to 0
Step 4 - solve each factor
REMEMBER - any factor, including a GCF, that contains a variable must be set equal to 0 when solving
The short video below gives a couple of examples how this works. You might want to watch it a couple times if it helps.
Solving Quadratics by Factoring Homework 1
The solutions to these are listed below.
Completing the Square Homework
Solve using various methods.
Standard Form to Vertex Form
Being able to re-write equations from standard form to vertex form or from vertex form to standard form is a necessary skill when dealing with quadratic functions. The two videos below may help with this process.
Converting to Vertex Form Homework
Welcome back! It seems it has been a while since we have met so it only seems fitting that we spend a couple days "remembering" what we were doing.
1st period, we will be reviewing Greatest Common Factor, Difference of Squares factoring, and Factoring the Sum or Difference of Two perfect Cubes. Then we will move into finding the equation of and characteristics of a quadratic function given a table of values.
2nd and 3rd periods, we will be having a comprehensive factoring review along with remembering how to find the equation and characteristics of a quadratic function given a table of values. While we're at, we will practice solving a few quadratics using all the methods we have covered.
SOUNDS LIKE FUN!
This review will last a couple days and then its back to business as usual.
Multiple ways to solve Quadratic Equations.
As we have seen in our work, there are 4 ways to solve quadratic equations. These are:
-Completing the Square
We are going to practice solving some quadratics using each method.
In the following worksheet, you are asked to solve some quadratic equations using a particular method and then there are some that you get to chose the method. Of the chose your own method problems, you must do at least 2 by graphing but no more than 4 by graphing. Solving by graphing means you may get decimal answers. If that is the case, round your solutions to the nearest hundredth.
Show all work for any problem other than the graphing ones.
Solving Quadratic Word Problems
Below you will find a document that helps explain the steps in solving a quadratic word problem. Use this in addition to the notes you took in class to help you solve the assigned problems.
The answers to the quadratic word problems on your homework sheet can be found worked out below.
Quadratics Test Review
Below you will find the Quadratics Unit Test Review. The answers follow in the next window. Please work carefully and make sure you understand how to do each type of problem. It is very important you can do these on the test.
Answers to the test review.
Test Review #2
Test Review #2 Answers