Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!
Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots : P/Q Where P represents the factors of the constant of the polynomial and Q represents the factors of the leading coefficient
Complex Conjugates Theorem If a + bi is a zero of the polynomial, then a – bi is a zero also. Ex. Find the polynomial whose zeros include 3 and 2 – i
Tricks….. If all the coefficients add to equal 0, then 1 is a root. If the sum of every other coefficient adds to equal the sum of the other every other coefficient, then -1 is a root. Try factoring a cubic by grouping if possible.
Find all solutions and rewrite as a product of factors
Find all solutions and rewrite as a product of factors.