Greatest common factor calculator with variables and exponents

Example: x^2+5x+4

Example (Click to try)

x^2+5x+4

How to factor expressions

If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that

  • Add up to 5
  • Multiply together to get 4

Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like:
(x+1)(x+4)

Current calculator limitations

  • Doesn't support multivariable expressions
  • If you have an expression that you want the calculator to support in the future, please contact us

Factoring Expressions Video Lesson


How To Factor x^2+5x+4 [0:58]

Need more problem types? Try MathPapa Algebra Calculator

Quick-Start Guide

When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. At this point the calculator will attempt to factor the expression by dividing a GCF, and identifying
a difference between two squares, or factorable trinomials. Use the following rules to enter expressions into the calculator.

Variables

Any lowercase letter may be used as a variable.

Exponents

Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not be placed on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and – symbols respectively. For multiplication, use the * symbol. A * symbol is optional when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can
also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying parentheses, example: (x + 1)(x – 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books – Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported; attempts to use the / symbol will
result in an error.

Division, Square Root, Radicals, Fractions

Division, square root, radicals, and fractions are not supported.

  AuthorMessage Conj

Registered: 16.01.2004
From:


Posted: Saturday 30th of Dec 09:58  
 
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Registered: 08.03.2007
From: egypt,alexandria


Posted: Saturday 30th of Dec 11:46  
 
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Back to top LifiIcPoin

Registered: 01.10.2002
From: Way Way Behind


Posted: Saturday 30th of Dec 18:41  
 
Algebrator really helps you out in algebra greatest common factor calculator. I have tried every Algebra software on the net. It is very user-friendly . You just type-in your problem and it will create a complete step-by-step report of the solution. This helped me much with adding matrices, angle suplements and least common denominator. It helps you understand Math better. I was distressedof paying big bucks to Maths Tutors who could not give me the required time and attention. It is a worthful tool which could change your entire attitude towards math. Using Algebrator would be fun. Take it.
Back to top cufBlui

Registered: 26.07.2001
From: Scotland


Posted: Sunday 31st of Dec 19:06  
 
factoring polynomials, inverse matrices and monomials were a nightmare for me until I found Algebrator, which is truly the best algebra program that I have come across. I have used it through several algebra classes – Remedial Algebra, Pre Algebra and Algebra 2. Simply typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I truly recommend the program.
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How do you find the GCF of monomials with variables?

To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .

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