Solve Cubic Inequality | VCE Maths Methods Worked Example

Опубликовано: 11 Май 2026
на канале: Midnight Maths Academy
39
2

Worked Example Question (try it yourself before watching!):
Solve the following inequality for x.
0≤(x+1)(3x-1)(2-x).

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This maths example problem is taught according to the current Australian VCE (Victorian Certificate of Education) Mathematical Methods curriculum. This video is part of Midnight Maths Academy VCE Unit 1-2 Mathematical Methods Polynomials online course.

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** About Me **
Hi there! I'm Katerina. I'm a qualified Software Engineer with a Mathematics major and over 5 years of experience working as a tutor. In 2016 I graduated VCE as the DUX of my school with an ATAR of 99.70, and top scores in VCE Maths Methods, VCE Specialist Maths and VCE Physics. As you can tell, I absolutely love maths and hope that I can help you succeed on your study journey too!

** About Midnight Maths Academy **
Midnight Maths is my passion project to create a worked example of every type of VCE Mathematical Methods problem!

** Topics In This Online Maths Tutorial **
Evaluating Polynomial Values
Advanced algebra
Manipulating Equations
How Polynomials Work
Simplifying Polynomial Expressions
Polynomial Arithmetic
Solving Polynomial Equations
Null Factor Law
Solving for x
Solving Cubic Equations
Solving Equations
Solving Inequality
Solving Inequalities
Solving Inequation
Solving for x Less than
Solving for x Greater than
Sketching Cubic Equation
Sketching Polynomial Functions
Plot Cubic Polynomial of Third Degree

** Disclaimer **
VCE® is a registered trademark of the VCAA. The VCAA does not endorse or make any warranties regarding this study resource. Past VCE exams and related content can be accessed directly at www.vcaa.vic.edu.au