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Edexcel A-Level Mathematics AS P1.1.10 Algebraic Manipulation Questions

The direct evidence mixes pure algebra and modelling: expand products, factorise cubics, rearrange expressions and compare coefficients or coordinates.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • Expand products such as (x+5)(3x+2)(2x-5) before collecting like terms.
  • Fully factorise cubics by taking out x and then factorising the remaining quadratic.
  • Rearrange model formulae or compare polynomial forms to find constants and coordinates.

Edexcel A-Level Mathematics AS P1.1.10 Algebraic Manipulation Questions question 1

[Maximum number: 2]

Given that

(x−5)(2x+1)(x+3)≡ax3+bx2−32x−15(x-5)(2 x+1)(x+3) \equiv a x^{3}+b x^{2}-32 x-15

where a and b are constants,

find the value of a and the value of b.

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