Question

anne divides a degree-5 polynomial by a degree-2 polynomial. what is the degree of the quotient?

Explanation:

Step1: Recall polynomial division degree rule

When dividing two polynomials, the degree of the quotient is equal to the degree of the dividend minus the degree of the divisor, provided the divisor is not zero and the degree of the dividend is greater than or equal to the degree of the divisor.

Step2: Calculate the degree of the quotient

Let $\text{deg(dividend)} = 5$ and $\text{deg(divisor)} = 2$. The degree of the quotient is $\text{deg(dividend)} - \text{deg(divisor)} = 5 - 2$

Answer:

3