If 9x⁴ - 11x + 17 is divided by x ÷ 5 then the quotient is of degree _____?
- 1
- 3
- 2
- None of these
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
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