Math Problem Statement

find a polynomial f(x) of degree 5 that has the f zeros 0,6(multiplicity 2), -5, -2

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomials
Roots and Multiplicity
Factoring

Formulas

f(x) = C ⋅ x ⋅ (x - 6)^2 ⋅ (x + 5) ⋅ (x + 2)
(x - a)^m (polynomial factor with multiplicity m)

Theorems

Factor Theorem
Zero Product Property

Suitable Grade Level

Grades 10-12