Polynomials

Intro to Polynomials

What is a Polynomial?

A Polynomial is an extension of Quadratics with Complex Numbers.

Polynomials Vocabulary

• polynomial- a monomial or a sum of difference of monomials
• polynomial function- a function whose rule is a polynomial
• factor by grouping- to factor a polynomial with four terms by grouping, factor common monomials from pairs of terms, and then look for common binomial factors
• factor by grouping- pairs of terms that have a common monomial factor
• synthetic division- a shorthand method of dividing by a linear binomial of the form (x-a) by writing only the coefficients of the polynomial

Multiplying Polynomials

multiply a polynomial by a monomial
multiply binomial by a binomial (using FOIL)
binomial by a trinomial

Synthetic Division

normal synthetic division
quotient is factorable (trial and error)
quotient is factorable (difference of two squares)
zeros in the quotient (trial and error)
zeros in the quotient (factor by grouping)

Citations

"10.1 - Introduction to Polynomials." 10.1 - Introduction to Polynomials. N.p., n.d. Web. 19 Jan. 2016.

"HRW: High School Math - Multilingual Glossary." HRW: High School Math - Multilingual Glossary. N.p., n.d. Web. 19 Jan. 2016.

"Multiply Polynomial By Monomial." . Examples, Practice Problems Explained Step by Step. All You Have to Do Is.. N.p., n.d. Web. 20 Jan. 2016.

"Simplifying Using the FOIL Method Lessons -- Algebra.Help." Simplifying Using the FOIL Method Lessons -- Algebra.Help. N.p., n.d. Web. 20 Jan. 2016. <http://www.algebrahelp.com/lessons/simplifying/foilmethod/pg2.htm>.