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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 163

Given that

f(x)=2x3−5x2+8x+k f(x) = 2x^3 - 5x^2 + 8x + k f(x)=2x3−5x2+8x+k

where kkk is a constant.

Given that (2x−1)(2x - 1)(2x−1) is a factor of f(x)f(x)f(x),

a.

use the factor theorem to show that k=−3k = -3k=−3.

[3]
b.

Hence show that the equation f(x)=0f(x) = 0f(x)=0 has only one real root.

[4]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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