Binomial expansion for positive integer powers Quiz

1. Evaluate $\binom{10}{3}$.

• A. $720$
• B. $210$
• C. $30$
• D. $120$

2. Find the coefficient of $x^2$ in $(1+2x)^5$.

• A. $20$
• B. $40$
• C. $10$
• D. $80$

3. Find the coefficient of $x^3$ in $(1-x)^6$.

• A. $20$
• B. $15$
• C. $-20$
• D. $-15$

4. The first three terms of $(1+px)^7$ are $1+14x+\dots$. Find $p$.

• A. $2$
• B. $7$
• C. $1$
• D. $14$

5. How many terms are in the expansion of $(2+3x)^9$?

• A. $9$
• B. $10$
• C. $11$
• D. $18$