X^4-16 factored
Input interpretation factor | x^4 – 16 Irreducible factorization (x – 2) (x – 2 i) (x + 2 i) (x + 2) Factorizations over finite fields GF(2) | x^4
X^4 – 1 factored
Input interpretation factor | x^4 – 1 Irreducible factorization (x – 1) (x – i) (x + i) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^4
X^3-8 factored
Input interpretation factor | x^3 – 8 Result (x – 2) (x^2 + 2 x + 4) Irreducible factorization -(-x + 2 (-1)^(1/3) – 2) (x – 2) (x + 2 (-1)^(1/3)) Factorizations over finite fields GF(2) | x^3
X^3-64 factored
Input interpretation factor | x^3 – 64 Result (x – 4) (x^2 + 4 x + 16) Irreducible factorization -(-x + 4 (-1)^(1/3) – 4) (x – 4) (x + 4 (-1)^(1/3)) Factorizations over finite fields GF(2) | x^3
X^3-1 factored
Input interpretation factor | x^3 – 1 Result (x – 1) (x^2 + x + 1) Irreducible factorization -(-x + (-1)^(1/3) – 1) (x – 1) (x + (-1)^(1/3)) Factorizations over finite fields GF(2) | (x + 1) (x^2 + x + 1)
X^3 + 27 factored
Input interpretation factor | x^3 + 27 Result (x + 3) (x^2 – 3 x + 9) Irreducible factorization -(3 (-1)^(1/3) – x) (x + 3) (x + 3 (-1)^(1/3) – 3) Factorizations over finite fields GF(2) | (x + 1) (x^2 + x + 1)
X^2-3x factored
Input interpretation factor | x^2 – 3 x Result x (x – 3) Irreducible factorization (x – 3) x Factorizations over finite fields GF(2) | x (x + 1)
X^2-2x-8 factor
Input interpretation factor | x^2 – 2 x – 8 Result (x + 2) (x – 4) Irreducible factorization (x – 4) (x + 2) Factorizations over finite fields GF(2) | x^2
X^2-2x-3 factor
Input interpretation factor | x^2 – 2 x – 3 Result (x + 1) (x – 3) Irreducible factorization (x – 3) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^2
X^2-2x+4 factor
Input interpretation factor | x^2 – 2 x + 4 Irreducible factorization (-i x + sqrt(3) + i) (i x + sqrt(3) – i) Factorizations over finite fields GF(2) | x^2