# Factor Polynomial Calculator

A calculator to factor Polynomials is presented. You may also want to review
factoring polynomials by common Factor ,
factoring polynomials by grouping and

factoring a polynomial using rational root and factor theorems.

## Factor Polynomials

Factroring a polynomial over the real is to write it as a product of linear, quadratic and may be other polynomials using real numbers only.

Example

The polynomial \( P(x) = x^4+x^3+7x^2+9x-18 \) may factored (written as a product) as
\[ P(x) = \left(x-1\right)\left(x+2\right)\left(x^2+9\right) \]

## Use of the Factoring of Polynomials Calculator

1 - Enter and edit function \( P(x) \) and click "Enter Polynomial" then check what you have entered and edit if needed.

Note that the five operators used are: + (plus) , - (minus), / (division) , ^ (power) and * (multiplication). (example: P(x) = 2*x^2 + 3*x - 5).(more notes on editing functions are located below)

2 - Click "Factor Polynomial" to obain the factoring if possible.

3 - Note This calculator can factor over the rationals only.If a polynomial cannot be factored over the rational numbers, then the same polynomial (withour factoring) is output.

Notes: In editing functions, use the following:

1 - The five operators used are: + (plus) , - (minus), ^ (power) and * (multiplication). (example: P(x) = -x^2 + 5x - 6 )

Here are some examples of functions that you may copy and paste to practice:

x^2 + 2x - 3 -x^2 + 5x - 6 -x^3+4x^2+5x x^4 - 16 x^4+2x^3-7x^2-8x+12

x^3 + 1 x^4-2x^3-4x^2+2x+3 -2x^4+8x^3+14x^2-44x-48

## More References and Links

Factor Polynomials by Common FactorFactor Polynomials by Grouping

Find Zeros of Polynomials

Factor a Polynomial Using Rational Root and Factor theorems

Factor Polynomials

Algebra and Trigonometry - Swokowsky Cole - 1997 - ISBN: 0-534-95308-5

Algebra and Trigonometry with Analytic Geometry - R.E.Larson , R.P. Hostetler , B.H. Edwards, D.E. Heyd - 1997 - ISBN: 0-669-41723-8