Given (x+3)(x + 3)(x+3) and (x−5)(x - 5)(x−5) are both factors of f(x)f(x)f(x), where
f(x)=px3−7x2−43x+q f(x) = px^3 - 7x^2 - 43x + q f(x)=px3−7x2−43x+qFind the values of p p\,p and qqq.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.
