Question

If a polynomial of degree 7 is divided by a polynomial of degree 4, then the degree of the quotient is

• A. less than 3
• B. 3
• C. more than 3
• D. 0

Answer 1

The Correct Option is B

Step 1: Recall the relationship between degrees during polynomial division.

When dividing two polynomials, the degree of the quotient is given by:

\[ \text{Degree of Quotient} = \text{Degree of Dividend} - \text{Degree of Divisor}. \]

Step 2: Apply the formula.

The degree of the dividend is 7, and the degree of the divisor is 4. Thus:

\[ \text{Degree of Quotient} = 7 - 4 = 3. \]

Final Answer: The degree of the quotient is \( \mathbf{3} \), which corresponds to option \( \mathbf{(2)} \).