Write -2x 2(-5x 2 +4x 3) in standard form?

Use carats!! ^ That thing!

- 2X^2(-5X^2 + 4X^3)

Distribute! Multiply the inner parenthesized terms by - 2X^2

= 10X^4 - 8X^5

=============== I don't have time for your other problems above as I am going to the hospital and may be out of service for a few days.  One of those problems looks amenable to polinomial division. One looks like sythetic division.