Question 10 - A-Level Maths

OCR MEI C1 — Question 10 3 marks

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Polynomial Division & Manipulation
Type	Simple Algebraic Fraction Simplification
Difficulty	Easy -1.2 This is a straightforward factorisation exercise requiring recognition of a difference of two squares in the numerator and factorising a simple quadratic in the denominator, followed by cancelling the common factor (x+3). It's a routine C1 algebraic manipulation question with no problem-solving element, making it easier than average.
Spec	1.02j Manipulate polynomials: expanding, factorising, division, factor theorem 1.02k Simplify rational expressions: factorising, cancelling, algebraic division

Factorise and hence simplify the following expression. $$\frac{x^2 - 9}{x^2 + 5x + 6}$$ [3]

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Question 10:

Answer	Marks
10	x3 5

or 1 as final answer www

Answer	Marks
x2 x2	3
[3]	B2 for correct answer seen and then spoilt

M1 for (x + 3)(x  3)

and M1 for (x + 2)(x + 3)

Question 10:
10 | x3 5
or 1 as final answer www
x2 x2 | 3
[3] | B2 for correct answer seen and then spoilt
M1 for (x + 3)(x  3)
and M1 for (x + 2)(x + 3)

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Factorise and hence simplify the following expression.
$$\frac{x^2 - 9}{x^2 + 5x + 6}$$ [3]

\hfill \mbox{\textit{OCR MEI C1  Q10 [3]}}

This paper (11 questions)

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Q1 2 Q2 5 Q3 12 Q4 4 Q5 4 Q6 5 Q7 3 Q8 4 Q9 4 Q10 3 Q11 3