Engineering Board Exam Reviewer · Binomial Theorem · medium

Find the sum of the coefficients in the expansion of (3x-2)6.

1. 729
2. 64
3. 1
4. 15625

Answer

C. 1

Solution

The sum of the coefficients is the value of the polynomial at x=1: (3-2)6=1.

More Binomial Theorem questions

1. Find the term independent of x in the expansion of ≤ft(2x2- 1x )9.
2. Find the constant term in the expansion of ≤ft(x+ 1x )10.
3. Find the coefficient of x5 in the expansion of (2x-1)8.
4. Find the 4th term in the expansion of (x+y)6.
5. Find the coefficient of x3 in the expansion of (1+x)4(1-x)2.
6. 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).
7. Using the first three terms of the binomial expansion, approximate (1.02)10.

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