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Algebra and Functions 2

Algebra and Functions 2

Medium
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Question 10

Given that f(x)=(x2−6x)(x−2)+3xf(x) = (x^2 - 6x)(x - 2) + 3xf(x)=(x2−6x)(x−2)+3x,

a.

express f(x)f(x)f(x) in the form x(ax2+bx+c)x(ax^2 + bx + c)x(ax2+bx+c), where aaa, b b\,b and c c\,c are constants.

[3]
b.

Hence factorise f(x)f(x)f(x) completely.

[2]
c.

Sketch the graph of y=f(x)y = f(x)y=f(x), showing the coordinates of each point at which the graph meets the axes.

[3]
Markscheme

Algebra and Functions 2 Questions

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

14 exam-style questions on Edexcel A Level Old Maths Algebra and Functions 2. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank