Welcome to the Math Salamanders' Factoring Quadratic Equations Worksheets.
Here you will find a range of worksheets to help you to
learn to factorise a range of different quadratic equations of the form ax^{2} + bx + c = 0
All the quadratic equation worksheets in this section factorise with integer values inside each bracket.
A quadratic equation is an equation involving the square of a number which is the highest power in the equation.
It is usually in the standard form:
ax^{2} + bx + c = 0
where a, b and c are numbers, and x is an unknown. The variable a cannot be 0 (but b and c can be 0)
Note that the operations can be '+' or '-'.
It is also sometimes called a second degree polynomial equation.
Examples
The following ARE quadratic equations in standard form:
The following ARE quadratic equations but not yet in standard form:
The following are NOT quadratic equations:
There are 2 main methods to use when solving a quadratic equation:
1) The factoring method - this is used for paticular cases when the solution involves integers or fractions
2) The formula method - this can be used for any quadratic equation
The worksheets on this page are designed to be solved using the factoring method (though you could use the formula method to solve the equations if you wish).
If you need help learning to factorise a quadratic equation then we have a help page waiting for you!
The page will show you step-by-step how to go about factoring a quadratic equation.
The sheets are arranged in order of difficulty to help introduce you into more complicated examples gradually.
Section 1: Beginning Section
This short video walkthrough shows several problems from our Factorising Quadratic Equations Worksheet 5 being solved and has been produced by the West Explains Best math channel.
If you would like some support in solving the problems on these sheets, please check out the video below!
If you need help learning to factorise a quadratic equation then we have a help page waiting for you!
The page will show you step-by-step how to go about factoring a quadratic equation.
We have a range of easier algebra worksheets designed for 6th graders.
These worksheets involve working with simpler equations and expressions than those on this page.
Take a look at some more of our worksheets similar to these.
The Mathway Calculator is a great way to solve algebra problems that you can type into a calculator.
Try using this online calculator tool to solve one of your problems and watch it work!
There are a range of calculators to choose from to meet your needs.
The Mathway problem solver will answer your problem instantly and also give you a link to view each of the steps needed.
If you choose to 'View the steps' you will be directed to the Mathway website where you will be able to see in more detail each of the steps needed to solve the problem. Please note that Mathway may charge you a small fee for this!
If you are looking for a fun printable algebra game to play then try out our algebra game page.
You will find a range of algebra games that make learning algebra fun and non-threatening.
The only equipment you need is a scientific calculator, some dice, and a few counters!
How to Print or Save these sheets
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
How to Print or Save these sheets
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
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