It is given that (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+qf(x) = px^3 - 7x^2 - 43x + qf(x)=px3−7x2−43x+q
Find the values of p p\,p and qqq.
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Markscheme
1.5.6 Polynomials and rational expressions Questions
113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.