Question

PLEASE HELP ME!!!! 14 POINTS

Which of the following represents the product of 6x^3 - 12x^2 + 18x - 24 and 2x^2 ?

Select one:
A. 6x6−12x4+18x2−24
B. 18x3−12x2+18x−48
C. 6x5−24x3+36x2−48x
D. 12x5−24x4+36x3−48x2

Answer 1

D. 12x5−24x4+36x3−48x2

Explanation:

Product means multiplication so multiply each term by 2x^2

6x^3 * 2x^2= 12x^5 (think 6*2=12 and you have to add exponents when multiplying them so 3+2=5)

- 12x^2* 2x^2= -24x^4

18x*2x^2=36x^3

-24*2x^2=-48x^2

Add all those together to get 12x5−24x4+36x3−48x2