Question 1209674
When dividing a polynomial by a monomial (like 'x' in this case), the process is straightforward: simply divide each term of the polynomial by the monomial.

*   p(x) = 9x⁴ + x³ - 12x + 21
*   q(x) = x

Dividing each term of p(x) by q(x):

*   (9x⁴)/x = 9x³
*   (x³)/x = x²
*   (-12x)/x = -12
*   21/x = 21/x

Therefore:

*   **Quotient:** 9x³ + x² - 12
*   **Remainder:** 21