Math Problem Statement
\left(x-3\right)^2\left(x+5\right)\left(x+7\right)\le 0
Solution
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Math Problem Analysis
Mathematical Concepts
Inequalities
Polynomials
Critical Points
Sign Analysis
Formulas
Polynomial factored form: (x - a)(x - b)...
Inequality analysis: Test sign of expression over intervals
Theorems
Critical points theorem: Where factored expressions change sign
Multiplicity rule: Even multiplicities cause no sign change
Suitable Grade Level
Grades 9-11