Question

The degree of the polynomial \((3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2)\) is

(A) 2

(B) 6

(C) 4

(D) 3

Answer 1

Correct option is (B) 6

\(\left(3 x^2-7 x+2\right)\left(2 x^4+3 x^3-5 x+2\right)\)

\(= 6 x^6+9 x^5-15 x^3+6 x^2-14 x^5-21 x^4+35 x^2-14 x+4 x^4+6 x^3 -10 x+4\)

\(= 6 x^6-5 x^5-17 x^4-9 x^3+41 x^2-24 x+4\)

From the above it is clear that the given polynomial is of degree 6.