Question

The degree of the polynomial \((x^3 + x^2 + 2x + 1)\ (x^2 + 2x + 1)\) is

(A) 3

(B) 4

(C) 5

(D) 6

Answer 1

Correct option is: (C) 5

\(\left(x^3+x^2+2 x+1\right)\left(x^2+2 x+1\right) \)

\(= x^5+2 x^4+x^3+x^4+2 x^3+x^2+2 x^3+4 x^2+2 x+x^2+2 x+1 \)

\(= x^5+3 x^4+5 x^3+6 x^2+4 x+1 \)

Degree of Polynomial = 5

Answer 2

Correct option is: (C) 5