Factor Theorem and Remainder Theorem
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f(x)=x4+5x3+ax+bf(x) = x^4 + 5x^3 + ax + bf(x)=x4+5x3+ax+b, where a a\,a and b b\,b are constants.

The remainder when f(x)f(x)f(x) is divided by (x−2)(x - 2)(x−2) is equal to the remainder when f(x)f(x)f(x) is divided by (x+1)(x + 1)(x+1).

a.

Find the value of aaa.

[5]
b.

Given that (x+3)(x + 3)(x+3) is a factor of f(x)f(x)f(x), find the value of bbb.

[3]

Factor Theorem and Remainder Theorem Questions

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.

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Factor Theorem and Remainder Theorem Questions

  1. A Level
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