How to Factor Trinomials With the Diamond Method

Factoring trinomials using the box and X method can help students regain mathematical confidence.
••• Jupiterimages/ Images

A quadratic equation is considered to be a polynomial equation of the second degree. A quadratic equation is used to represent a point on a graph. The equation can be written using three terms, defined as being a trinomial equation. Factoring the trinomial equation using the diamond method can be faster than traditional methods.

    Draw a large "x" on your paper. Then draw a diamond shaped border around the large "x," creating four smaller diamonds within the border.

    Write a small "x" to represent multiplication in the top portion of the large diamond.

    Write a small "+" symbol in the lower part of the large diamond to represent addition.

    Allocate the coefficients. Write the last number in the trinomial in the top portion of the large diamond. Write the second coefficient in the bottom part of the large diamond.

    Determine what two numbers multiply to become the top number and add to become the bottom number. Write one number on the left side of the large diamond and the other on the right side of the large diamond.

    Write a binomial based on the two numbers you wrote on the left and right sides of the large diamond. For example, if the two numbers were -3 and 2, then write (x - 3) ( x + 2). These are the factors for your equation.

Related Articles

How to Solve Large Exponents
How to Write "Three Tenths" in Standard Form
What Are Radicals in Math?
How to Graph a Parabola
The Bridge Method of Factoring
How to Write Expressions as Radicals
How to Factor Algebraic Expressions Containing Fractional...
How to Factor Trinomials, Binomials & Polynomials
How to Calculate the Perimeter of a Diamond
How to Teach Multiplication to the Second Grade Using...
Adding & Subtracting Fractions
How to Find the Ratio of a Rectangle in Geometry
How to Find the Slope of Linear Equations
How to Split a Triangle Into Fourths
How to Draw a Helium Atom
How to Calculate a Fraction Covalent
How to Solve Higher Degree Polynomials
How to Determine Less Than & Greater Than in Fractions
How to Factor Polynomials in Factor Four Terms
How to Find a Z Score

Dont Go!

We Have More Great Sciencing Articles!