Topics
3. Polynomials
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AustraliaVIC
VCE 11 Methods 2023

3.04 Cubic equations

Lesson
Worksheet
Practice

Interactive practice questions

Solve the following equation:

$x^3-125=0$x3−125=0

Easy
< 1min

Solve the equation $x^3=-8$x3=−8.

Easy
< 1min

Solve the equation $8x^3-125=0$8x3−125=0.

Easy
1min

In this question we will be investigating the number of real solutions to the equation $x^3-512=0$x3−512=0.

Easy
4min
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Outcomes

U1.AoS2.10

factorisation patterns, the quadratic formula and discriminant, the remainder, factor and rational root theorems and the null factor law

U1.AoS2.7

solution of polynomial equations of low degree, numerically, graphically and algebraically, including numerical approximation of roots of simple polynomial functions using the bisection method algorithm

U1.AoS2.17

use algebraic, graphical and numerical approaches, including the factor theorem and the bisection method algorithm, to determine and verify solutions to equations over a specified interval

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