In Xcas mode, Factor is simply the inert form of factor; namely, it factors a polynomial without evaluation. (See section Section 6.12.10.) In Maple mode, the Factor command can additionally be used in conjunction with mod to factor a polynomials with coefficients in ℤ/pℤ, where p must be prime.
Example.
Input (in Xcas mode):
Output:
factor | ⎛ ⎝ | ⎛ ⎝ | ⎛ ⎝ | −3 | ⎞ ⎠ | %13 | ⎞ ⎠ | x3+ | ⎛ ⎝ | 5%13 | ⎞ ⎠ | x2+ | ⎛ ⎝ | ⎛ ⎝ | −5 | ⎞ ⎠ | %13 | ⎞ ⎠ | x+4%13 | ⎞ ⎠ |
To get the actual factorization:
Input:
Output:
⎛ ⎝ | ⎛ ⎝ | −3 | ⎞ ⎠ | %13 | ⎞ ⎠ | ⎛ ⎝ | ⎛ ⎝ | 1%13 | ⎞ ⎠ | x+ | ⎛ ⎝ | −6 | ⎞ ⎠ | %13 | ⎞ ⎠ | ⎛ ⎝ | ⎛ ⎝ | 1%13 | ⎞ ⎠ | x2+6%13 | ⎞ ⎠ |
Input (in Maple mode):
Output:
−3 | ⎛ ⎝ | x−6 | ⎞ ⎠ | ⎛ ⎝ | x2+6 | ⎞ ⎠ |