MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
What is the last term in the expansion of A?
Think it through first, then pick an option.
- a 243x³
- b x⁵
- c −x³
- d −243x⁵
Answer and explanation
Correct answer: d −243x⁵
The last term is (5 5)(−3x)⁵ = −243x⁵.
Why the other options are wrong
- a 243x³: 243x³ has both the power and the sign wrong. The right answer is −243x⁵.
- b x⁵: x⁵ misses the factor (−3)⁵ = −243. The right answer is −243x⁵.
- c −x³: −x³ has the wrong power and factor; the last power is 5. The right answer is −243x⁵.
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