Binomial Theorem — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Binomial Theorem (Algebra), each with the correct answer and a worked solution.

1. Find the coefficient of x3 in the expansion of (1+x)4(1-x)2.
2. The coefficients of the 2nd, 3rd, and 4th terms in the expansion of (1+x)n are in arithmetic progression. Find n (with n≥3).
3. Using the first three terms of the binomial expansion, approximate (1.02)10.
4. Find the sum of the coefficients in the expansion of (3x-2)6.
5. Find the term independent of x in the expansion of ≤ft(2x2- 1x )9.
6. Find the constant term in the expansion of ≤ft(x+ 1x )10.
7. Find the coefficient of x5 in the expansion of (2x-1)8.
8. Find the 4th term in the expansion of (x+y)6.