Advanced MathMediumSum of the coefficients of an expanded cube
Advanced Math practice question
When (3x − 1)³ is expanded and written as a polynomial in x, what is the sum of its coefficients?
Answer: 8
The sum of the coefficients is the polynomial's value at x = 1: (3 − 1)³ = 2³ = 8.
Common wrong answers
- If you answered 26
- 26 is 27 − 1, using only the first and last terms.
- If you answered 27
- 27 is 3³, the leading coefficient alone.
- If you answered -1
- −1 is the constant term (−1)³.
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