Complex Numbers Question
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Grade 12 Complex Numbers CCSS: HSN-CN.C.9
The Fundamental Theorem of Algebra is sometimes stated as "A non-constant, single-variable polynomial with complex coefficients has at least one complex root". Another form of the theorem states "A single-variable polynomial of degree n has n roots" (taking into account multiplicity if necessary). Show that the first statement leads to the second statement for a quadratic polynomial (degree 2).