Know the Fundamental Theorem of Algebra and verify it for quadratic polynomials.
Determine how many complex roots a quadratic polynomial has, counting multiplicity
Problem
How many complex roots does \(x^2-5x+6\) have, counting multiplicity?
Big Picture
What this problem is really about
The Fundamental Theorem of Algebra links polynomial degree to the total number of complex roots, counting multiplicity. We’ll read the degree, apply that count, remember that real roots are included among complex roots, and factor the polynomial as an independent check of the root total.
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