Multiplication in ℤ/pℤ or in ℤ/pℤ[x]: *

### 5.34.4 Multiplication in ℤ/pℤ or in ℤ/pℤ[x]: *

The * operator multiplies two integers in ℤ/pℤ or two polynomials in ℤ/pℤ[x]. (See also Section 5.8.2.) For polynomial expressions, use the normal command to simplify.

#### Examples.

- For integers in ℤ/pℤ:
  Input:
  31%13*10%13
  Output:

  ⎛ ⎝ | −2 | ⎞ ⎠ | %13

- For polynomials with coefficients in ℤ/pℤ:
  Input:
  normal((11*x+5)%13*(8*x+6 )% 13)
  or:
  normal((11% 13*x+5%13)*(8% 13*x+6%13))
  Output:

  ⎛ ⎝ | ⎛ ⎝ | −3 | ⎞ ⎠ | %13 | ⎞ ⎠ | x2+ | ⎛ ⎝ | ⎛ ⎝ | −24 | ⎞ ⎠ | %13 | ⎞ ⎠ | x+17%13