Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Tangent to a curve
Polynomial factorization
Relative position of a curve
Formulas
Tangent equation y = 3x + 3 at x = 2
Expression of the difference function (x^3 - 3x^2 + 4)/(x - 1)
Theorems
Derivative for slope of tangent
Polynomial factorization theorem
Suitable Grade Level
Undergraduate mathematics or advanced high school calculus