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Algebraic Methods

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Question 35

The cubic polynomial 6x3+kx2+25x−126x^3 + kx^2 + 25x - 126x3+kx2+25x−12 is denoted by f(x)f(x)f(x). It is given that (2x+3)(2x + 3)(2x+3) is a factor of f(x)f(x)f(x).

a.

Use the factor theorem to show that k=31k = 31k=31.

[2]
b.

Using this value of kkk, factorise f(x)f(x)f(x) completely.

[3]
Markscheme

Algebraic Methods Questions

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

40 exam-style questions on Edexcel AS Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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