Question

The degree of the polynomial \((y^{2}-3y+1)\,(y^{5}-4y^{3}+y^{2}+3y)\) is

• A. \(6\)
• B. \(7\)
• C. \(3\)
• D. \(4\)

Hint:

For nonzero polynomials, \(\deg(PQ)=\deg P+\deg Q\).

Answer 1

The Correct Option is B

Step 1: Degrees of factors.
First factor has degree \(2\); second has degree \(5\).
Step 2: Degree of product.
\(\deg(\text{product})=2+5=7\).