OCR MEI C1 — Question 18 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion
DifficultyEasy -1.2 This is a straightforward application of the binomial theorem with small n=4 and simple coefficients. It requires only direct substitution into the formula with no problem-solving or manipulation, making it easier than average and typical of early Core 1 material.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n
18 Find the binomial expansion of \(( 2 + x ) ^ { 4 }\), writing each term as simply as possible.
Question 18:
AnswerMarks Guidance
\(16 + 32x + 24x^2 + 8x^3 + x^4\) isw4 3 for 4 terms correct, 2 for 3 terms correct, or M1 for 1 4 6 4 1 s.o.i. and M1 for expansion with correct powers of 2 
## Question 18:

$16 + 32x + 24x^2 + 8x^3 + x^4$ isw | **4** | 3 for 4 terms correct, 2 for 3 terms correct, or M1 for 1 4 6 4 1 s.o.i. and M1 for expansion with correct powers of 2 | Total: **4**
18 Find the binomial expansion of $( 2 + x ) ^ { 4 }$, writing each term as simply as possible.

\hfill \mbox{\textit{OCR MEI C1  Q18 [4]}}
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Q1 4 Q2 4 Q3 4 Q4 4 Q5 5 Q6 4 Q7 4 Q8 5 Q9 4 Q10 4 Q11 4 Q12 5 Q13 4 Q14 4 Q15 4 Q16 3 Q17 4 Q18 4