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Factor Theorem and Remainder Theorem

Factor Theorem and Remainder Theorem

Medium
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Question 9

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]
Markscheme

Factor Theorem and Remainder Theorem Questions

  1. A Level
  2. /Old Maths
  3. /Factor Theorem and Remainder Theorem

9 exam-style questions on Edexcel A Level Old Maths Factor Theorem and Remainder Theorem. Each one has a worked solution and a mark scheme showing where the marks go.

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