What is factoring?
What is factoring? Factoring is the process by which one tries to make a mathematical expression look like a multiplication
problem by looking for factors.
Both numerical and algebraic expressions can be factored using some specific method(s).
The simplest expressions to factor are of course numerical expressions.
It is not hard to see that 12 = 4 × 3 once you know your multiplication table.
However, factoring a big number like 240 may require a lot more work.
The lesson below about factoring integers will show you how to factor 240 and other big numbers.
Then, you will be ready to factor algebraic expressions such as x
^{2} + 5x + 6 and more complicated expressions using a variety of methods
There are three concepts you will need to understand very well before you attempt to factor an expression
Start by studing the topics in the introduction
Introduction
Factoring integers
Important to understand in order to grasp the meaning of factor
Finding the greatest common factor
Important to understand before factoring polynomials or expressions with at least two terms
Multiplying binomials
Important to understand before factoring trinomials
Factoring
Factoring algebraic expressions
Learn how to factor a polynomial or an algebraic expression with two or more terms
Factoring trinomials
Learn to factor a trinomial that has the form x
^{2} + bx + c
Factoring by grouping
Learn how to factor a trinomial of the form ax
^{2} + bx + c by grouping terms
Factoring perfect square trinomials
Learn to factor perfect square trinomials
Factoring using the quadratic formula
Learn to factor using the quadratic formula x
^{2} + bx + c
Factoring radicals
Learn how to factor and simplify radicals
Factoring calculator
Use this calculator to factor a trinomial
Quadratic equation solver
Use this quadratic equation calculator to solve any quadratic equation.
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