Factoring calculator
Calculus factoring_calculator
Function : factoring_calculator
Summary :
The factoring calculator allows to factor an algebraic expression online with steps.
factoring_calculator online
Description :
Factoring calculator with steps
Factor calculator allows factoring online an algebraic expression, to achieve factoring an expression algebraic online different methods are used:
- Factoring by search common factors
- Factorization using special expansions
- Factoring online quadratic polynomials
- Factoring fractions
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`, factoring_calculator(`3x+3`), return `3(1+x)`
- These common factors can be letters, so factoring expression has `ax+bx`, factoring_calculator(`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)` factoring_calculator(`(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` factoring_calculator(`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)`
Online factoring quadratics polynomials
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 factoring_calculator(`-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 factoring_calculator(`-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 factoring_calculator(`(-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 factoring_calculator(`(-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)`
The factoring calculator allows to factor an algebraic expression online with steps.
Syntax :
factoring_calculator(expression)Examples :
Factorize an identity
- factoring_calculator(`1+2x+x^2`) returns `(x+1)^2`.
- factoring_calculator(`1-x^2`) returns `(1-x)(1+x)`
Factor an expression
- Factoring expression (2+2*x+(x+1)*(x+3)) with the function factoring_calculator(`(2+2*x+(x+1)*(x+3))`) returns `(x+5)*(1+x)`
See also :
- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
- Scientific online calculator : calc. Online Scientific Calculator to calculate algebraic expressions and get a numerical result.
- Expand calculator : expand. Calculator is able to expand an algebraic expression online.
- Expand and simplify an algebraic expression online : expand_and_simplify. The online calculator function to expand and collapse an algebraic expression.
- Factoring calculator : factoring_calculator. The factoring calculator allows to factor an algebraic expression online with steps.
- Trigonometric linearization : linearization_trigo. Calculator that allows to linearize a trigonometric expression.
- Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.
- Trigonometric Calculator : trig_calculator. Calculator wich uses trigonometric formula to simplify trigonometric expression.
- Prime factorization calculator : prime_factorization. The function prime_factorization is used to calculate online the decomposition of an integer into prime factors.