Question

Let $f(x)=2+3x^{2}, g(x)=1+2x^{2}$ be polynomials in the ring $Z_{4}$ under mod 4. Then, $deg\{f(x)g(x)\}=$

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

In rings like $Z_4$, $2 \times 2 = 0$. This can cause leading terms to vanish, lowering the expected degree.

Answer 1

The Correct Option is B