Polynomials

Aimee Hebert and Jace Brown 1st Hour

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

Exponents

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Exponent Challenge Problem

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Adding Polynomials

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Subtracting Polynomials

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Multiplying Polynomials

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

Dividing Polynomials Using Long Division

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Synthetic Division

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

Video

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>.