The point P(1,a)P(1, a)P(1,a) lies on the curve with equation y=(x+1)2(2−x)y = (x + 1)^2(2 - x)y=(x+1)2(2−x).
Find the value of aaa.
Sketch the curves with the following equations: (i) y=(x+1)2(2−x)y = (x + 1)^2(2 - x)y=(x+1)2(2−x), (ii) y=2x\displaystyle y = \frac{2}{x}y=x2. On your diagram show clearly the coordinates of any points at which the curves meet the axes.
With reference to your diagram in part (b), state the number of real solutions to the equation
(x+1)2(2−x)=2x. (x + 1)^2(2 - x) = \frac{2}{x}. (x+1)2(2−x)=x2.Practise Edexcel A Level Old Maths Algebra and Functions 2 with exam-style questions for A Level Old Maths. 7 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.