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Synthetic Division Polynomials

"To solve a polynomial equation using synthetic division, we first use the rational roots theorem to determine the potential zeroes for factoring. After factoring, we can solve synthetic division poly ...

Synthetic Division Factoring

"One way that we can factor a polynomial is to use synthetic division. Synthetic division factoring can be an effective way to factor complicated polynomials with whole number coefficients. When facto ...

Greatest Common Factors

"When working with polynomials and complex fractions, it's important to understand and be able to find greatest common factors. Being able to find greatest common factors will help when factoring trin ...

Graphing Rational Functions

": The graph of a basic rational function (1/x) is easy to do by plotting key points. When graphing rational functions, the functions are asymptotic to either the x-axis and y-axis or to certain lines ...

Graphing Radicals

"One way to graph radical functions is to create a table of values and then plot the points. Before starting the table, first determine the domain of the function. Remember, the radical must be greate ...

Graphing Radical Equations using Shifts

"When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that ...

Sum of Digits

"One difficult type of Algebra problem are word problems asking about the sum of digits in a two digit number. Solving systems of equations by substitution is one of the most common ways to solve sum ...

Graphing Quadratic Inequalities

"Solving a quadratic inequality by graphing is not difficult if you remember the basics of graphing a quadratic equation. When graphing quadratic inequalities, first graph the quadratic equation ...

Sum of Cubes Factoring

"When factoring trinomials, we can learn certain patterns of factoring the sum or difference of cubes. When factoring sum of cubes expressions, we will always end up with the binomial (a + b) multipli ...

Graphing Quadratic Equations

"When graphing quadratic equations, there are a few key terms that we can identify to help us graph quadratic functions more efficiently. Instead of plugging in values, we can find specific characteri ...

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