Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial functions
Complex roots
Real coefficients
Conjugate pairs
Multiplicity of roots
Formulas
For zero c, the factor is (x - c)
Complex conjugate pairs for real coefficients: if a + bi is a root, then a - bi is also a root
Difference of squares: (a + b)(a - b) = a^2 - b^2
Theorems
Conjugate root theorem
Suitable Grade Level
Grades 11-12