How do I factor polynomials?

Expand the polynomial into its prime factors. It includes algebraic symbols as well.

• Find the factors in every term, both numbers and symbols
• Move factors outside the brackets
• Finally, you can calculate the factor of the polynomial.

How will you use the factor calculator?

The  AllCalculator.net's factor calculator makes factors easily. It has been designed to help you in factoring the expressions within a second. Some of the steps that you should follow in the factor calculator to get an exact result are as follows:

• First, place the expression which is to be factorized in th format of (4x^(2)+20x+16)
• Press calculate to find the factors

The usage of this calculator is very easy and simple, so you can take advantage of this smart tool to factorize complex expressions within a second. 

How will you find the factors?

You can find the factors by the following methods:

• The multiplication approach
• The division approach
• Factorization by grouping

Multiplication approach

• Express the original number as a product of two elements
• There are different ways to express the original number as a product of two numbers
• Each distinct set of numbers used t create the product is a factor

Division approach

• Divide the original number by all values that are lower or equal to it.
• If there is no remainder, the value used for division is a factor.

Factorization by grouping

• Group the terms of the large polynomial according to their common factors.
• Divide the large polynomial into two smaller ones with terms with the same factors.
• Factor each of the smaller groups separately.

Some of the other factors are:

• Find the square root of the integer number' n' and round it to the nearest whole number, which we'll call 's.'
• Start with one and find the corresponding factor pair 'n ÷ 1 = n' to determine if one and 'n' are factor pairs.
• Record the factor pairs in which division results in a whole number and no remainder until you reach the square root rounded to 's.'
• By the time you reach 'n ÷ s,' you should have noted all factor pairs that can successfully factor the number' n.'

Are there any tips available to factor polynomials?

Some of the steps given below are used to factor the polynomial are:

• Expand the polynomial into its prime factors, including algebraic symbols
• Identify the factors that appear in every term, including numbers and symbols
• Move common factors outside the brackets
• Simplify to factor the polynomial