Solving Polynomial Functions

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Solving Polynomial Functions

Fundamental Theorem of Algebra Every polynomial equation with a degree greater than zero will have at least one complex root

Tricks….. If all the coefficients add to equal 0, then 1 works. If every other coefficient adds to equal the sum of every other coefficient, then -1 works. Try factoring a cubic by grouping if possible. 2x5-4x4-2x-1

Steps to Follow Try tricks P/Q it Divide to find roots At the cubic level (3rd degree) can you group? At the quadratic level (2nd degree) solve by factoring or use quadratic formula.

Solve 𝑥 3 + 𝑥 2 +𝑥−3=0

Find the roots. 𝑓 𝑥 = 𝑥 4 −3 𝑥 3 − 8𝑥 2 +4

Find the zeros. 𝑦= 2𝑥 3 + 𝑥 2 +2𝑥−5