 # Factoring and Root Finding Calculator

## Enter polynomial to factor:

### How does the Factoring and Root Finding Calculator work?

This calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:
* Difference of Squares
* Sum of Cubes
* Difference of Cubes
* Binomial Expansions
* Factor by Grouping
* Common Term
This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots
* Factors and simplifies Rational Expressions of one fraction
* Determines the number of potential positive and negative roots using Descarte’s Rule of Signs
This calculator has 1 input.

### What 3 formulas are used for the Factoring and Root Finding Calculator?

1. a2 - b2 = (a + b)(a - b)
2. a3 + b3 = (a + b) (a2 - ab + b2)
3. a3 - b3 = (a - b) (a2 + ab + b2)

For more math formulas, check out our Formula Dossier

### What 5 concepts are covered in the Factoring and Root Finding Calculator?

factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
polynomial
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
rational expressions
Quotient of two polynomials
P(x)/Q(x)
rational root theorem
used to find the rational solutions of a polynomial equation
rational zero theorem
used to find the rational roots of a polynomial function