1.2 Algebraic Fractions

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]

1.2 Algebraic Fractions

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

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]

1.2 Algebraic Fractions

Question 10

Markscheme

1.2 Algebraic Fractions

Question 10

Markscheme

1.2 Algebraic Fractions

Question 10

1.2 Algebraic Fractions Questions

1.2 Algebraic Fractions

Question 10

1.2 Algebraic Fractions Questions