Math Problem Statement

f(x)=x^3-12x^2+45x-54

Solution

You have the cubic function:

f(x)=x312x2+45x54f(x) = x^3 - 12x^2 + 45x - 54

What would you like to do with this function? Some common requests include finding its roots, critical points, inflection points, or analyzing its behavior. Let me know how you'd like to proceed!

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Math Problem Analysis

Mathematical Concepts

Cubic Functions
Algebra
Function Analysis

Formulas

Cubic function formula f(x) = ax^3 + bx^2 + cx + d

Theorems

Fundamental Theorem of Algebra
Critical Points
Inflection Points

Suitable Grade Level

Grades 9-12