Math Problem Statement

Form a polynomial f(x) with real coefficients having the given degree and zeros

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Complex Numbers
Roots of Polynomials

Formulas

Factorization: (x - a) for real zeros
(x - (a + bi))(x - (a - bi)) = x^2 - 2ax + a^2 + b^2 for complex conjugates

Theorems

Fundamental Theorem of Algebra

Suitable Grade Level

Grades 10-12