Cubic equations - mathcentre.ac.uk

Cubic equations mc-TY-cubicequations-2009-1. A Cubic equation has the form ax3 + bx2 + cx + d = 0 where a 6= 0. All Cubic equations have either one real root, or three real roots. In this unit we explore why this is so. Then we look at how Cubic equations can be solved by spotting factors and using a method called synthetic division. Finally we will see how graphs can help us locate solutions. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. After reading this text, and/or viewing the video tutorial on this topic, you should be able to: explain why Cubic equations possess either one real root or three real roots use synthetic division to locate roots when one root is known find approximate solutions by drawing a graph Contents 1.

Notice that to the right of the vertical line we write down the known root x = −2. We have left a blank line which will be filled in shortly. In the first position on the bottom row we have brought down the number 1 from the first row. The next step is to multiply the number 1, just brought down, by the known root, −2, and write

Loading..

Tags:

  Line, Vertical, Vertical line

Information

Related search queries