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It's the Fundamental Theorem of Algebra.

A preview of "Polynomials" Join Brilliant Premium

Polynomials appear all over the place in mathematics, and they have many interesting (and possibly surprising!) applications. For example, we can use polynomials to compute the famous golden ratio.

These quizzes will cover the basics of polynomials (like their roots and graphs), but will build up to trickier topics like complex factorization and the Fundamental Theorem of Algebra.

By the end, questions like these will feel easily within reach:

Does \(f(x) = x^7 + 2x^6 + 3x^5 + 4x^4 + 5x^3 + 6x^2 + 7x + 8\) have at least one real root?

Master the problem solving skills of Complex Algebra.

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