The calculator solves polynomial roots of any degree. For small degree polynomials analytic methods are applied, for 5-degree or higher the polynomial roots are estimated by numerical method. Show
The calculator solves real polynomial roots of any degree univariate polynomial with integer or rational terms. The calculator factors an input polynomial into several square-free polynomials, then solves each polynomial either analytically or numerically (for 5-degree or higher polynomials). A function graph is plotted to illustrate the polynomial solution.  N-degree polynomial rootsPolynomial coefficients, space separated. Calculation precision Digits after the decimal point: 5 The file is very large. Browser slowdown may occur during loading and creation. Graph The file is very large. Browser slowdown may occur during loading and creation. N-degree polynomial real root calculation algorithm
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PLANETCALC, Polynomial roots Example: x^2+5x+4 Example (Click to try)x^2+5x+4 How to factor expressionsIf you are factoring a quadratic like x^2+5x+4 you want to find two numbers that
Since 1 and 4
add up to 5 and multiply together to get 4, we can factor it like: Current calculator limitations
Factoring Expressions Video LessonHow To Factor x^2+5x+4 [0:58] Need more problem types? Try MathPapa Algebra Calculator
Factor, expand or simplify polynomials with Wolfram|AlphaMore than just an online factoring calculatorWolfram|Alpha is a great tool for factoring, expanding or simplifying polynomials. It also multiplies, divides and finds the greatest common divisors of pairs of polynomials; determines values of polynomial roots; plots polynomials; finds partial fraction decompositions; and more. Learn more about:
Tips for entering queriesEnter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask about factoring.
Access instant learning toolsGet immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator Learn more about:
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What is factoring?A polynomial with rational coefficients can sometimes be written as a product of lower-degree polynomials that also have rational coefficients. In such cases, the polynomial is said to "factor over the rationals." Factoring is a useful way to find rational roots (which correspond to linear factors) and simple roots involving square roots of integers (which correspond to quadratic factors). Polynomials with rational coefficients always have as many roots, in the complex plane, as their degree; however, these roots are often not rational numbers. In such cases, the polynomial will not factor into linear polynomials. Rational functions are quotients of polynomials. Like polynomials, rational functions play a very important role in mathematics and the sciences. Just as with rational numbers, rational functions are usually expressed in "lowest terms." For a given numerator and denominator pair, this involves finding their greatest common divisor polynomial and removing it from both the numerator and denominator. How do you find the roots of a factored polynomial?You can find the roots, or solutions, of the polynomial equation P(x) = 0 by setting each factor equal to 0 and solving for x. Solve the polynomial equation by factoring. Set each factor equal to 0. 2x4 = 0 or (x – 6) = 0 or (x + 1) = 0 Solve for x.
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