Advanced MathHardCoefficient of x² in the square of a trinomial
Advanced Math practice question
When (x² + x + 1)² is expanded, what is the coefficient of x²?
Answer: 3
The x² terms come from x²·1, 1·x², and x·x: 1 + 1 + 1 = 3. (Full expansion: x⁴ + 2x³ + 3x² + 2x + 1.)
Common wrong answers
- If you answered 1
- 1 counts only the x·x product.
- If you answered 2
- 2 counts the two x²·1 products but misses x·x.
- If you answered 6
- 6 doubles the correct coefficient.
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