5
AssignmentMultiple Choice

Division of Polynomials

Question 5 • AZ-Common Core Algebra II A

Which expression is equivalent to 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034?

Answer
A
4m4 + 12m3 + 54m2 + 108m + 81
B
4m4 + 12m3 + 54m2 + 108m + 324
C
m4 + 12m3 + 54m2 + 108m + 81

Explanation

The expression is the binomial expansion of (m + 3)^4. Its terms are m^4, 4(m^3)(3) = 12m^3, 6(m^2)(9) = 54m^2, 4(m)(27) = 108m, and 81. Therefore, the equivalent expression is m^4 + 12m^3 + 54m^2 + 108m + 81, choice C.

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