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Algebraic Methods

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Question 213

A scientist is modeling the growth rate VVV of a bacterial colony in terms of the concentration of a specific nutrient xxx. The relationship for x>0x > 0x>0 and x≠49x \neq 49x=49 is given by:

V=10.5+7x−1.5x12−x327−x V = \frac{10.5 + 7x - 1.5x^{\frac{1}{2}} - x^{\frac{3}{2}}}{7 - \sqrt{x}} V=7−x​10.5+7x−1.5x21​−x23​​

Fully simplify the expression for VVV, justifying each step of your factorisation.

[5]
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Algebraic Methods Questions

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

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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