Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Inequalities
Factoring Polynomials
Sign Analysis

Formulas

Factoring a cubic polynomial: -x(x^2 + x - 30)
Factoring quadratics: x^2 + x - 30 = (x - 5)(x + 6)

Theorems

Critical Points Method
Interval Testing for Polynomial Inequalities

Suitable Grade Level

Grades 10-12