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Dividing Polynomials

"When dividing polynomials, we can use either long division or synthetic division to arrive at an answer. We can use synthetic division to divide polynomials if the degree in the divisor is equal to 1 ...

Dividing Complex Numbers

"Fractions with negative roots in the denominator or with i in the denominator must be rationalized (since i represents a square root). When dividing complex numbers with negative roots, simplify in t ...

Recursion Sequences

"While arithmetic and geometric sequences involve a rule that uses a constant number, recursion sequences use the terms themselves in the rule. One term in recursion sequences is determined from using ...

Rectangular Coordinate System

"In Algebra, we often use the rectangular coordinate system to graph lines, parabolas and other formulas. Important terms to be familiar with include the y-axis, the x-axis, y-coordinates, x-coordinat ...

Direct Variation

"We often use the term direct variation to describe a form of dependence of one variable on another. An equation that makes a line and crosses the origin is a form of direct variation, where the magni ...

Difference of Perfect Squares

"An important special case when trying to factor polynomials is a identifying the difference of perfect squares. We learn to recognize a difference of perfect squares because they have a special, easi ...

Ratios

"In math, it's sometimes helpful to be able to compare quantities using ratios. Ratios are used often in word problems and in Geometry when comparing similar figures. A ratio is a comparison of two qu ...

Deriving the Quadratic Formula

"The quadratic formula is one of the most important formulas that you will learn in Algebra and chances are that you have probably memorized it. But where does it come from? When deriving the quadrati ...

Rational Exponents with Negative Coefficients

"A negative coefficient of a term with a rational exponent can mean that we either (1) apply the rational exponent and then take the opposite of the result, or (2) the rational exponent applies to a n ...

Definition of Slope

"One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing t ...

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