Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomials
Complex Numbers
Real Coefficients
Roots and Conjugates

Formulas

For any root r, the factor of the polynomial is (x - r)
(x + i)(x - i) = x^2 + 1
(x - (a + bi))(x - (a - bi)) = x^2 - 2ax + (a^2 + b^2)

Theorems

Complex Conjugate Root Theorem

Suitable Grade Level

Grades 11-12