16Hit1600
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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