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 x^3 terms will come from the sum of these multiplications
(6x^3) (4) + (4x^2) (-3x) + (7x)(3x^2) + (-5)(6x^3) =
[ 24 - 12 + 21 - 30 ] x^3 =
3x^3
