Polynomials

Kade Stuart 1st Hour

What is a Polynomial?

An expression of more than two algebraic terms.

Vocabulary

Polynomial: a monomial or sum of monomials

Degree: the power of the exponent

Standard Form: has the terms in descending order by degree

Degree of the Polynomial: the largest degree of any term in the polynomial

Monomial: a number, variable, or the product of a number or variable

Exponents

Products of a Power: Am*an=am+n

Power of a Power: (am)n=amn

Power of a Product: (ab)m=ambm

Negative Exponent: a-1=1/a, a doesn’t equal zero

Zero Exponent: A0=1, a doesn’t equal zero

Dividing like Bases: Am/an=am-n, a doesn’t equal zero

Power of a Quotient: (a/b)m= am/bm, b doesn’t equal zero

Exponent Challenge Problem

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Adding and Subtracting Polynomials

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Multiplying Polynomials

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Long Division

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Synthetic Division

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Cites Used

"Polynomial Long Division: Examples." Polynomial Long Division: Examples. N.p., n.d. Web. 21 Jan. 2016.

"Synthetic Division of Polynomials - Practice Problems." Synthetic Division of Polynomials - Practice Problems. N.p., n.d. Web. 21 Jan. 2016.

Holt McDougal Larson Algebra 2. Orlando, FL: Houghton Mifflin Harcourt, 2012. Print.

"How to Add Polynomials (example)." Khan Academy. N.p., n.d. Web. 21 Jan. 2016.