Given that f(x)=(x2−6x)(x−2)+3xf(x) = (x^2 - 6x)(x - 2) + 3xf(x)=(x2−6x)(x−2)+3x,
express f(x)f(x)f(x) in the form x(ax2+bx+c)x(ax^2 + bx + c)x(ax2+bx+c), where aaa, b b\,b and c c\,c are constants.
Hence factorise f(x)f(x)f(x) completely.
Sketch the graph of y=f(x)y = f(x)y=f(x), showing the coordinates of each point at which the graph meets the axes.
Practise Edexcel A Level Old Maths Algebra and Functions 2 with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
