find the product -5x(x^3-3x^2+4x+6)

Solution:

the product -5x(x^3-3x^2+4x+6)= -5x^(1+3) + 15x^(1+2) -20x^(1+1) -30x

= -5x^4 +15x^3 -20x^2 -30x