# Factoring calculator

The factoring calculator allows to factor an algebraic expression online with steps.

### Factor, online calculus

#### Summary :

The factoring calculator allows to factor an algebraic expression online with steps.

# Factoring calculator with steps

Factor calculator allows factoring online an algebraic expression, to achieve factoring an expression algebraic online different methods are used:

The factoring calculator then returns the factorized form of the algebraic expression placed in parameter.

## Factoring online by searching for common factors

The factoring calculator is able to recognize the common factors of an algebraic expression :

• These common factors can be number: Factoring the expression 3x+3, factor(3x+3), return 3(1+x)
• These common factors can be letters, so factoring expression has ax+bx, factor(ax+bx), return x*(a+b)
• These common factors can be algebraic expressions, so factoring expression has (x+1)(x+2)+(3x+3)(x+1) factor((x+1)(x+2)+(3x+3)(x+1)) will return the following expression factorized (x+1)*(5+4*x)

## Factorization using the special expansions

The factoring calculator is able to recognize the outstanding common identities and using them to factor algebraic expressions.

• the following special expansion a^2+b^2+2ab=(a+b)^2 is used to factor the expression 1+2x+x^2, The result returned by the function is (1+x)^2
• the following special expansion a^2+b^2-2ab=(a-b)^2 is used to factor the expression 1-2x+x^2 factor(1-2x+x^2), the result returned will be the expression following factored (1-x)^2
• the following special expansion a^2-b^2=(a-b)*(a+b) is used to factor the expression 1-x^2, The result returned by the function is (1-x)(1+x)

Factor calculator is able to recognize quadratics polynomials and factoring them when possible.

• Thus, the function allows to factor online the following quadratic polynomial -6-x+x^2, the result returned by the function is the expression factored (2+x)*(-3+x)
• For example by typing factor(-1/2+x/2+x^2), returns online factorization of quadratic polynomial ie (1+x)*(-1/2+x)
• For getting the factored form of the following polynomial -21+4*x+x^2, simply type factoring factor(-21+4*x+x^2), then the function returns the factorization of the quadratic polynomial (7+x)*(-3+x)

## Factoring fractions

The factoring calculator is able to factor algebraic fractions with steps :

• Thus, the factoring calculator allows to factorize the following fraction (x+2*a*x)/b, the result returned by the function is the factorized expression (x*(1+2*a))/b
• For example by entering factor((-1/2+x/2+x^2)/b), the function will return the online factorisation of the fraction, i.e. ((1+x)*(-1/2+x))/b
• To obtain the factorised form of the following fraction (-21+4*x+x^2)/(1+2*x+x^2), simply enter factor((-21+4*x+x^2)/(1+2*x+x^2)), the function will then return the factorisation of the fraction of the polynomials of the 2nd degree ((7+x)*(-3+x))/((1+x)^2)

## Games on factoring

The site offers quizzes on factoring that allow you to practice factoring many forms of expressions.

#### Syntax :

factor(expression)