How to Factor Trinomials With the Diamond Method

Save

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.

References

Promoted By Zergnet

Comments

You May Also Like

  • How to Solve Trinomials

    A trinomial expression is any polynomial expression that has exactly three terms. In most cases, "solving" means factoring the expression out into...

  • How to Factor Polynomials for Beginners

    Polynomials are groups of mathematical terms. Factoring polynomials allows them to be solved easier. A polynomial is considered factored completely when it...

  • Factoring Trinomials: The X Method

    A quadratic trinomial is made up of three terms. The "X" method of factoring helps a person to visualize the possible combination...

  • How to Use the AC Method for Factoring

    Factoring is a mathematical process by which you break up a math phrase into simplified parts. This is a task that you...

  • Box Method of Solving Math Problems

    Factoring a polynomial doesn't have to be a guessing game. The box method for factoring quadratic polynomials provides a visual method for...

Related Searches

Check It Out

Can You Take Advantage Of Student Loan Forgiveness?

M
Is DIY in your DNA? Become part of our maker community.
Submit Your Work!