Polynomials
William Hartmann 1st hour
What are Polynomials?
Polynomials are the expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable or variables.
Vocabulary
Power- The product when a number is multiplied by itself a given number of times.
Base- In a power, the number that is used as a factor.
Exponent- In a power, the superscript number that tells how many times the base is used as a factor.
Monomial- An expression that is either a numeral, a variable, or the product of a numeral and one or more variables.
Similar or Like Terms- Two monomials that are exactly alike except for their numerical coefficients.
Power of a Product Property
Multiplying powers with the same base you just have to add the exponents.
Power of a Quotient Power
Dividing two powers with the same nonzero base, subtract the exponent of the denominator from the exponent of the numerator.
Power of a Power Property
Multiply powers with the same base you just have to add the exponents.
All Exponent Properties in One Problem
Adding Polynomials
Multiplying Monomial by Polynomial, Binomial by Binomial, and Binomial by a Trinomial
Monomial by Polynomial
Binomial by Binomial
Binomial by a Trinomial
Dividing Polynomials using Long Division
Synthetic Division
Video
Polynomials in Real Life