Explanation

The degree of the polynomial 9x⁴ - 11x + 17 is 4 (highest power of x).

The divisor is x ÷ 5, which simplifies to x/5 or just x (since dividing by a constant doesn't change the variable's degree).

When a polynomial is divided by a term of degree 1 (x), the degree of the quotient becomes:

4 (numerator degree) - 1 (denominator degree) = 3