3.2.1 Algebra and Functions (A-level only)

Question 10

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

\frac{10.5 + 7x - 1.5x^{\frac{1}{2}} - x^{\frac{3}{2}}}{7 - \sqrt{x}}

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

[5]

3.2.1 Algebra and Functions (A-level only)

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Question 10

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

\frac{10.5 + 7x - 1.5x^{\frac{1}{2}} - x^{\frac{3}{2}}}{7 - \sqrt{x}}

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

[5]

3.2.1 Algebra and Functions (A-level only)

Question 10

3.2.1 Algebra and Functions (A-level only) Questions

3.2.1 Algebra and Functions (A-level only)

Question 10

3.2.1 Algebra and Functions (A-level only) Questions