Questions & Answers

Question

Answers

A. 4

B. 3

C. 2

D. 1

Answer
Verified

$

AB = (3x + 6)(2{x^2} + 3x + 4) \\

= 6{x^3} + 9{x^2} + 12x + 12{x^2} + 18x + 24 \\

= 6{x^3} + 21{x^2} + 30x + 24 \\

$

From the above equation, we can see that the highest power of the variable $x$ is 3.

Hence, the degree of the function AB is 3 where $A = (3x + 6){\text{ and }}B = (2{x^2} + 3x + 4)$.

Option B is correct.