It is given that f(x)=x3−3x2−10x+24f(x) = x^3 - 3x^2 - 10x + 24f(x)=x3−3x2−10x+24
Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).
Factorise f(x)f(x)f(x) completely.
Hence solve the equation f(3y)=0f\left(3^y\right) = 0f(3y)=0, giving your answers to 3 significant figures where appropriate.
302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.