POLYNOMIALS

CAMERON, MEREDITH & SHORE (3RD HOUR)

What are Polynomials?

Polynomial comes from poly- meaning "many" and -nomial in this case meaning "term", so it says "many terms". A polynomial can consist of constants, variables and exponents, that can be combined using Addition, subtraction, multiplication, and division. However it can never use division by a variable.

VOCABULARY

  1. Polynomial- is a monomial or the sum of monomials.
  2. Monomial- a number, a variable, or the product of a number and variable(s).
  3. Degree- the power of the exponent.
  4. Standard form of a polynomial- has the terms in descending order by degree.
  5. Degree of a Polynomial- is the largest degree of any term of the polynomial.

EXPONENTS

Let a and b be real numbers and let m and n be integers.

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ADDING AND SUBTRACTING POLYNOMIALS

With adding polynomials horizontally, you may look at the two polynomials and combine all like terms!

With subtracting polynomials, you distribute the negative in the second polynomial and add like terms.

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Multiplying Polynomials

  • When multiplying a monomial by a polynomial, you distribute and add like terms.
  • When multiplying a binomial by a binomial, multiply by using the FOIL Method.
  • When multiplying a binomial by a trinomial, multiply by distributing your binomial into your trinomial and adding like terms.
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Dividing Polynomials using Long Division

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Synthetic Division

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Synthetic Factoring

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Synthetic division | Polynomial and rational functions | Algebra II | Khan Academy

Works Cited

  1. "Holt McDougal Online." Holt McDougal Online. N.p., n.d. Web. 27 Jan. 2016.

  2. Pierce, Rod. "About Math is Fun" Math Is Fun. Ed. Rod Pierce. 17 Jun 2014. 27 Jan 2016 <http://www.mathsisfun.com/aboutmathsisfun.html>
  3. "Properties of Exponents." Properties of Exponents. GlamFamily, n.d. Web. 27 Jan. 2016.