Dividing a polynomial by a monomial: Univariate
divide
6x⁷-27x³/3x³
To divide a polynomial by a monomial, you simply divide each term of the polynomial by the monomial.
In this case, we have:
(6x⁷ - 27x³) / 3x³
= 6x⁷ / 3x³ - 27x³ / 3x³
= 2x^(7-3) - 9
= 2x⁴ - 9
Therefore, the result of dividing 6x⁷ - 27x³ by 3x³ is 2x⁴ - 9.