Polynomials

Jacob Reinholtz, 2nd Hour

Block 1: Introduction

A polynomial is an expression of two or more algebraic terms. Some examples of polynomials are binomials (two) and trinomials (three).

Block 2: Vocabulary

Polynomial - an expression that can have constants, variables and exponents, that can be combined using addition, subtraction, multiplication and division


Synthetic Division - shorthand method of polynomial division by dividing a linear factor


Factor by Grouping - factoring pairs of terms that have a common monomial factor


Polynomial Long Division - dividing polynomials like one would with typical numbers


Monomial - a product of positive integer powers of a fixed set of variables together with a coefficient

Block 3: Properties of Exponents

Product of Powers: a^m * a^n = a^m + ^n

Power of a Power: (a^m)^n = a^m^n

Power of a Product: (ab)^m = a^mb^m

Negative Exponent: a^-m = 1/a^m, a ≠ 0

Zero Exponent: a^0 = 1, a ≠ 0

Quotient of Powers: a^m/a^n = a^m - n, a ≠ 0

Power of a Quotient: (a/b)^m = a^m/b^m, b ≠ 0

Block 4: Exponent Challenge Problem

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Block 5: Adding and Subtracting Polynomials

Block 6: Multiplying Polynomials

Block 7: Dividing Polynomials Using Long Division

Block 8: Synthetic Division

Block 9: Video

The FOIL Method - Multiplying Binomials - MathHelp.com

Block 10: Works Cited

"Math Is Fun - Maths Resources." Math Is Fun - Maths Resources. N.p., n.d. Web. 21 Jan. 2016.

"Polynomials and Polynomial Functions." Holt McDougal Online. N.p., n.d. Web. 20 Jan. 2016.

"Polynomials." Purple Math. N.p., n.d. Web.