IFoA Exam IFoA_CAA_M0 Topic 10 Question 59 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam

Question #: 59
Topic #: 10

Determine the coefficient of x3in the binomial expansion of (2 + x)5.

A10

B40

C64

D80

Show Suggested Answer

Suggested Answer: B

by Lyda at May 02, 2024, 10:37 PM

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2 months ago

Alright, makes sense then. So, the answer should be B) 40.

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3 months ago

Actually, I remember it being 40. Combination of 5 choose 3 is 10, and 2^2 is 4, so 10 * 4 = 40.

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3 months ago

I find these binomial expansion questions tricky. Let’s double-check.

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3 months ago

I'm not sure. Could it be 80? Maybe my calculation was wrong.

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3 months ago

I think it's 40. If you use the binomial theorem, the coefficient for x^3 is C(5,3) * 2^2.

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4 months ago

Any idea on the coefficient of x^3 in the binomial expansion of (2 + x)^5?

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