Quadratic Equations: Solving by Factorising

This video tutorial explains how to solve quadratic equations by factorizing. It begins with an introduction to quadratics, highlighting the x squared term, x term, and constant. The video outlines different methods for solving quadratics, focusing on factorizing in this session. It explains the process of factorizing to find the roots of the equation, which are the x-values where the quadratic crosses the x-axis. The tutorial includes practice questions and concludes with a mention of other methods like the quadratic formula and completing the square, encouraging viewers to explore further resources.

What is the first step in solving a quadratic equation by factorising?

• Graph the equation

• Make the equation equal to zero

• Complete the square

• Use the quadratic formula

What are the solutions to a quadratic equation also known as?

• Roots

• Intercepts

• Vertices

• Coefficients

When factorising a quadratic, what do we usually end up with?

• A single equation

• Two brackets

• A linear equation

• A cubic equation

What do the roots of a quadratic equation represent on a graph?

• The highest point of the curve

• The points where the curve crosses the x-axis

• The y-intercept of the curve

• The slope of the curve

If a quadratic equation is factorised into (x + 4)(x - 2), what are the roots?

• x = -2 and x = -4

• x = 4 and x = -2

• x = -4 and x = 2

• x = 2 and x = 4

What should you do after factorising a quadratic equation?

• Divide the brackets

• Add the brackets

• Set each bracket to zero and solve

• Multiply the brackets

What is a reason for using methods other than factorising to solve quadratics?

• Factorising is always the best method

• Factorising gives incorrect solutions

• Not all quadratics can be factorised

• Factorising is too complex

Which method is NOT mentioned as an alternative to factorising?

• Completing the square

• Graphing

• Using the quadratic formula

• None of the above

What should you do if you have questions after watching the video?

• Rewatch the video

• Comment below the video

• Search online

• Ask a friend