Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial functions
Zeros of the function
End behavior
Critical points
Multiplicity
Formulas
f(x) = (x + 4)^2(1 - x)
Product rule for derivatives
End behavior analysis
Theorems
Fundamental theorem of algebra
Multiplicity behavior theorem
Suitable Grade Level
High School (Grades 10-12)