Solving a Cubic Equation: Factor Theorem and GDC Method
Consider the cubic function \(f(x)=x^3-5x^2+2x+8\). This problem is divided into three parts: (a) Use the Factor Theorem to demonstrate that \((x+1)\) is a factor of \(f(x)\). (b) Given that \((x+1)\) is a factor, use polynomial division to find the quadratic factor of \(f(x)\) and then use a Graphical Display Calculator (GDC) to find the roots […]