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Algebraic Methods

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Question 164

A polynomial function is defined as

f(x)=x4+ax3+2x2+bx−6 f(x) = x^4 + ax^3 + 2x^2 + bx - 6 f(x)=x4+ax3+2x2+bx−6

where aaa and bbb are constants.

a.

When f(x)f(x)f(x) is divided by (x−1)(x - 1)(x−1), the remainder is −10-10−10. Show that a+b=−7a + b = -7a+b=−7.

[2]
b.

When f(x)f(x)f(x) is divided by (x+2)(x + 2)(x+2), the remainder is 222. Find the value of aaa and the value of bbb.

[4]

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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.

Question bank