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A-Level MathematicsYear 2021Q2

4 2. The cubic equation 9x3 – 5x2 + 4x + 7 = 0 has roots α, β and γ. Without solving the equation, find the cubic equation whose roots are (3α – 2), (3β – 2) and (3γ – 2), giving your answer in the form aw3 + bw2 + cw + d = 0, where a, b, c and d are integers to be determined. (5) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:8FM0_01_que_20211005.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)