EngradeWikisMr. Bosler's ACP Algebra 2 Wiki › Days 8 and 9: Using the Fundamental Theorem of Algebra

Days 8 and 9: Using the Fundamental Theorem of Algebra

To wrap it in a nutshell, the fundamental theorem of algebra guarantees the following to us:

A polynomial function of degree n will have n roots (cubics have 3 roots, quartics have 4 roots, etc.)

Furthermore, polynomials of an even degree will have a minimum of 0 real roots (yes, it is possible for a quartic to have four complex roots, 2 pairs of complex conjugates)

Also, polynomials of an odd degree will have a minimum of 1 real root (so, a cubic may have 1 real root and one pair of complex conjugates)





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