Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The coefficient of \(x^7\) in the expansion of \((x - m)^{12}\) is
Options
A -924m^5
B -792m^5
Correct Answer
C -792m^6
D -330m^7
Correct Answer

Option B is the correct answer.

Detailed Explanation

General term: T_{r+1} = C(12,r) x^{12-r} (-m)^r. For x^7, 12-r=7 => r=5. Coefficient = C(12,5) (-1)^5 m^5 = -792 m^5.

Hint

Use T_{r+1} = C(n,r) a^{n-r} b^r.

Question Info