Title: 3_3 Solving Polynomial Equations
Course: HELM Workbooks 2023-2024 > Section: HELM 3: Equations, Inequalities and Partial Fractions

Linear and quadratic equations, dealt within Quizzes 3.1 and 3.2, are members of a class of equations, called polynomial equations. These have the general form:

\( \qquad a_nx^n + a_{n-1}x^{n-1} + \ldots +a_2x^2+a_1x+a_0=0 \)

in which \(x\) is a variable and \(a_n\), \(a_{n-1}\), ..., \(a_2\), \(a_1\), \(a_0\) are given constants. Also \(n\) must be a positive integer and \(a_n \ne 0\). Examples include \(x^3+7x^2+3x-2=0\), \(5x^4-7x^2=0\), and \(-x^6+x^5-x^4=0\). In this quiz you will learn how to factorise some polynomial expressions and solve some polynomial equations.