Question

In the expansion of \( a + bx \), the coefficient of \( x^r \) is

• A. \( a - br \)
• B. \( a + br \)
• C. \( (1 - r) a - br \)
• D. None of these

Hint:

Use the binomial expansion to find coefficients of terms in algebraic expressions.

Answer 1

The Correct Option is C

Step 1: Identifying the expansion.
The expansion of \( a + bx \) will result in terms of the form \( ax^r \). The coefficient of \( x^r \) is found by using the general form of the expansion and applying the binomial theorem.

Step 2: Conclusion.
The coefficient of \( x^r \) is \( (1 - r) a - br \), corresponding to option (3).