A-Level MathematicsYear 2016Q3
Page 04 MARKS 3. (a) (i) Show that ( )1 x + is a factor of 2x3 − 9x2 + 3x + 14. (ii) Hence solve the equation 2x3 − 9x2 + 3x + 14 = 0. (b) The diagram below shows the graph with equation y = 2x3 − 9x2 + 3x + 14. The curve cuts the x-axis at A, B and C. y = 2x3 − 9x2 + 3x + 14 y x A B C O (i) Write down the coordinates of the points A and B. (ii) Hence calculate the shaded area in the diagram. 4. Circles C1 and C2 have equations ( ) ( ) 2 2 5 6 9 x y + + − = and x2 + y2 − 6x −16 = 0 respectively. (a) Write down the centres and radii of C1 and C2. (b) Show that C1 and C2 do not intersect. 2 3 1 4 4 3
Paper Source:NH_Mathematics_all_2016.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)