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Factoring Trinomials

"When given a trinomial, or a quadratic, it can be useful for purposes of canceling and simplifying to factor it. Factoring trinomials is easiest when the leading coefficient (the coefficient on the s ...

Factoring Trigonometric Equations

"Solving second degree trig functions can be accomplished by factoring polynomials into products of binomials. When factoring trigonometric equations, we can use the zero product property to set up tw ...

Factoring Methods

"The first step is to identify the polynomial type in order to decide which factoring methods to use. Next, look for a common term that can be taken out of the expression. A statement with two terms ...

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 ...

Rational Roots

"The rational roots theorem states that all potential roots are in the positive or negative form of the last coefficient’s factors divided by the first coefficient’s factors. With a large polynomial, ...

Quadratic Equation Discriminant

"The discriminant is part of the quadratic formula which lies underneath the square root. The quadratic equation discriminant is important because it tells us the number and type of solutions. This in ...

Complex Quadratic Equations

"There are four methods to solving quadratic equations: factoring, completing the square, using square roots, and using the quadratic formula. Sometimes there are more complex quadratic equations in ...

Complex Factoring

"When asked to simplify expressions, sometimes we come across complicated expressions that are not easily factored by traditional methods. When factoring complex expressions, one strategy that we can ...

Completing the Square

"Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic ...

Perfect Square Trinomials

"One special case when trying to factor polynomials is a perfect square trinomial. Unlike a difference of perfect squares, perfect square trinomials are the result of squaring a binomial. It's importa ...

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