Math Problem Statement

f(x)=11x^3+3x^2-11x-3

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Calculus
Polynomial Functions
Derivatives
Roots

Formulas

f(x) = 11x^3 + 3x^2 - 11x - 3
f'(x) = derivative of f(x)
f''(x) = second derivative of f(x)
Roots: Solving f(x) = 0

Theorems

Fundamental Theorem of Algebra
First Derivative Test (for critical points)
Second Derivative Test (for concavity and inflection points)

Suitable Grade Level

Grades 10-12 (High School)