16Hit1600
Advanced MathVery hardCoefficient in a binomial expansion

Advanced Math practice question

When (x + 2)⁴ is expanded, what is the coefficient of x³?

Answer: 8

The x³ term comes from choosing 2 from one of the four factors and x from the other three: 4 × 2 = 8. (Full expansion: x⁴ + 8x³ + 24x² + 32x + 16.)

Common wrong answers

If you answered 2
2 forgets that any of the four factors can supply the 2.
If you answered 4
4 counts the factors but forgets to multiply by 2.
If you answered 24
24 is the coefficient of x².

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