This is what I got--
(6x^3*4)+(4x^2*3x)+(-7x*3x^2)+(-5*6x^3)
24+12-21-30 = -15
Therefore, the coefficient would be -15.
Hope this helped!
This is the correct answer:
Expand the following:
(24 x^4 + 6 x^3 + 4 x^2 - 7 x - 5) * (6 x^3 + 3 x^2 + 3 x + 4)
=144 x^7 + 108 x^6 + 114 x^5 + 84 x^4 - 15 x^3 - 20 x^2 - 43 x - 20
What is the coefficient of x^3 when 24x^4 + 6x^3 + 4x^2-7x - 5 is multiplied by 6x^3 + 3x^2 + 3x + 4 and the like terms are combined?
( 24x^4 + 6x^3 + 4x^2 - 7x - 5) * ( 6x^3 + 3x^2 + 3x + 4)
The coefficient on x^3 will be found as
6x^3 * 4 + 4x^2 * 3x - 7x* 3x^2 -5*6x^3 =
[ 6* 4 + 4*3 - 7*3 - 5*6 ] x^3 =
[24 + 12 - 21 - 30 ] x^3 =
-15 x^3