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• ### How to Graph a Cosine Function

The parent graph of cosine looks very similar to the sine function parent graph, but it has its own sparkling personalit...

In Calculus

• ### How to Work with 30-60-90-Degree Triangles

All 30-60-90-degree triangles have sides with the same basic ratio. Two of the most common right triangles are 30-60-90...

In Calculus

• ### How to Draw Uncommon Angles

Many times in your journey through trigonometry — actually, all the time — drawing a figure will help you so...

In Calculus

• ### Basics of How to Guess and Check Real Roots

You can use the rational root theorem to narrow down the search for roots of polynomials. While Descartes’s rule of signs only narrows down the...

• ### How to Use the Roots of a Polynomial to Find Its F

The factor theorem states that you can go back and forth between the roots of a polynomial and the factors of a polynomial. In other words, if you kno...

• ### How to Use the FOIL Method to Factor a Trinomial

For polynomials with a nonprime leading coefficient and constant term, you can use a procedure called the FOIL method of...

• ### Finding the Roots of a Factored Equation

In pre-calculus, you can use the zero-product property to find the roots of a factored equation. After you factor a polynomial into its different pie...

• ### How to Factor a Difference of Squares

When you FOIL (multiply the first, outside, inside, and last terms together) a binomial and its conjugate, the product is called a difference of squar...

• ### How to Solve a Quadratic Equation When It Won̵

When asked to solve a quadratic equation that you just can’t seem to factor (or that just doesn’t factor), y...

• ### How to Find Imaginary Roots Using the Fundamental

The fundamental theorem of algebra can help you find imaginary roots. Imaginary roots appear in a quadratic equation when the discriminant of the quad...