MagicMath:Polynomial Factoring

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Polynomial Factoring

Let P(x) be a polynomial with integer coefficients. A factor R(x) of P(x) is a polynomial that divides P(x) evenly. In other words, there is a quotient polynomial Q(x) such that

P(x) = R(x) × Q(x)

Usually the degree of R(x) is lower than the degree of P(x). If there are no factors, with integer coefficients, of degree lower then P(x), then P(x) is said to be irreducible.

Use this page to factor any polynomial P(x) with integer coefficients into irreducible factors.

Enter a polynomial to be factored over the integers in infix form. For example,
4*x^4 - 1
or
x^2 +2*x + 1

Note * (shift-8) is for multiplication and ^ (shift-6) is for powering.

Polynomial: