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.


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.

All Exponent Properties in One Problem

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Subtracting Polynomials

Adding Polynomials

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Multiplying Monomial by Polynomial, Binomial by Binomial, and Binomial by a Trinomial

Dividing Polynomials using Long Division

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Synthetic Division

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Polynomials in Real Life