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### Standard Equations of Algebraic Conics

Conics are curved algebraic forms that come from slicing a cone with a plane. Use these equations to graph algebraic conics, such as circles, ellipses, parabolas, and hyperbolas: [more…]

### Algebra’s Quadratic Formula

You can find solutions for quadratic equations by factoring, completing the square, guessing, or everyone's favorite — using the quadratic formula. The best thing about the quadratic formula [more…]

### How to Identify a Quadratic Expression

You can identify a quadratic expression (or second-degree expression) because it's an expression that has a variable that's squared and no variables with powers higher than 2 in any of the terms. [more…]

### How to Factor an Expression Taking out the Greatest Common Factor

You can factor a quadratic expression to make it easier to work with. Some quadratic expressions can be made better by finding a greatest common factor [more…]

### Applying the FOIL Method to Binomials

When you multiply two binomials, you can use the FOIL method. The letters in FOIL refer to two terms — one from each of two binomials — multiplied together in a certain order: [more…]

### How to Multiply Binomials Using the FOIL Method

The FOIL method lets you multiply two binomials in a particular order. You don't *have* to multiply binomials by following the FOIL order, but it does make the process easier. The letters in FOIL refer to [more…]

### How to Factor a Trinomial by UnFOILing

UnFOILing is a method for factoring a trinomial into two binomials. When you multiply two binomials together, you use the FOIL method, multiplying the [more…]

### How to Factor Expressions More Than Once

Sometimes you factor expressions more than once — and with different factoring techniques. To determine if an expression needs to be factored more than once, just take another look at the expression after [more…]

### How to Unevenly Group Four Terms for Factoring

Sometimes in factoring, four terms can be separated into uneven groupings with three terms in one group and one term in the other. Unevenly grouping four terms for factoring can be applied to expressions [more…]

### Selected Math Formulas Step by Step

Algebraic formulas make life (and algebra) simpler. You save time by not having to perform more complicated tasks. When using the formulas, use the appropriate rules for simplifying algebraic expressions [more…]

### How to Graph Parabolas

The graph of a quadratic function is a smooth, *U*-shaped curve that opens either upward or downward, depending on the sign of the coefficient of the *x*^{2} term. The vertex and intercepts offer the quickest [more…]

### Applying Quadratics to Real-Life Situations

Quadratic equations lend themselves to modeling situations that happen in real life, such as the rise and fall of profits from selling goods, the decrease and increase in the amount of time it takes to [more…]