f(x)=2x3+3x2−29x−60.f(x) = 2x^3 + 3x^2 - 29x - 60.f(x)=2x3+3x2−29x−60.
Find the remainder when f(x)f(x)f(x) is divided by (x+2)(x + 2)(x+2).
Use the factor theorem to show that (x+3)(x + 3)(x+3) is a factor of f(x)f(x)f(x).
Factorise f(x)f(x)f(x) completely.
Practise Edexcel A Level Old Maths Factor Theorem and Remainder Theorem with exam-style questions for A Level Old Maths. 9 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.