Factoring & Solving Quadratic Equations
A collection of videos, activities and worksheets that are suitable for A Level Maths. This is part of an online GCSE to A Level Bridging Course. The topics covered are: Factoring and Solving of Quadratic Equations, Completing the Square, Solving Quadratics with Algebraic Fractions, Solve Simultaneous Equations that are linear with non linear.
The following diagram shows how to factor and solve quadratic equations. Scroll down the page for more examples and solutions of factoring and solving quadratic equations.
Basic Factoring and Solving of Quadratic Equations - GCSE to A Level Bridging Course
Examples:
Factorise the following:
x2 + x - 12
Solve the following:
x2 - 25 = 0
2x2 - 71 = 0
(x - 6)(x + 5) = 0
x(3x - 2) = 0
2x2 + 3x = 0
4x2 - 25 = 0
x2 - 8 = 2x
Harder Factoring and Solving of Quadratic Equations
Examples:
Factorise each of the following expressions:
3x2 + 8x + 4
5x2 + 3x - 2
Solve the following quadratic equations:
x2 - 9 = 0
9x2 - 64 = 0
4x2 + x - 3 = 0
3x2 - 7x + 4 = 0
Solve the following equations:
8x2 = 2x + 15
4/x + 1/(x+1) = 6/x
3x2 + 6x = 24
Solve the following equations correct to 2 decimal places each time.
x2 + 4x - 6 = 0
Completing the Square
Solving Quadratics with Algebraic Fractions
Simultaneous Equations (linear with non linear)
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.