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Making Connections: Polynomial Theorems
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Making Connections: Polynomial Theorems

Degree

Factor

Synthetic Division

Conjugate Root Theorem

Remainder Theorem

Factor Theorem

Fundamental Theorem of Alg

Rational Root Theorem

constant by the factors of the leading coefficient.

Which of the terms apply in these situations?  More than one can work!  Type in all that apply!

Find all the zeros for the following polynomial.

Find all the solutions of each equation, real and imaginary.

How many roots does the function have?

Is (x-a) a factor?

What is the quotient?

List all of the potential rational roots for the equation.

What are the solutions for the function?

What is the remainder?

Find a polynomial with a degree of 3 given the root 2-4i.

Which of the following is not a possible root?

How many turning points does the given polynomial have?