Binomial Theorem

Topics in this chapter

• Binomial Theorem Expansion
• General Term And Term Finding
• Binomial Coefficients
• Middle And Special Terms
• Coefficient Relations And Identities
• Products Of Binomial Expansions
• Binomial Applications And Approximations

Cheat sheet

Practice questions

1. Question 1Q-FCF6F1

   What is the coefficient of x^3 in the expansion of (2 + x)^5?

   1. A.20
   2. B.40
   3. C.80
   4. D.tr
   See the answer and solution
2. Question 2Q-E7B04E

   What is the term independent of x in the expansion of (x^2 + 1/x)^9?

   1. A.36
   2. B.84
   3. C.126
   4. D.252
   See the answer and solution
3. Question 3Q-569FAA

   What is the coefficient of x^5 in the expansion of (1 + x)^8(1 - x)^4?

   1. A.-8
   2. B.0
   3. C.8
   4. D.16
   See the answer and solution
4. Question 4Q-E393E9

   Find the two middle terms in the expansion of (2x - 1)^7.

   See the answer and solution
5. Question 5Q-9BA777

   What is the coefficient of x^2 in the expansion of (3x - 2)^5?

   1. A.-720
   2. B.-240
   3. C.720
   4. D.240
   See the answer and solution