Divide the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x. (2x3 + x4 - 6x2 + 11x - 10) (x2 + 2 - x)

Let's rewrite the expression correctly:

(2x3 + x4 - 6x2 + 11x - 10) / (x2 + 2 - x)

Dividing the expression between (x2 + 2 - x) we have:

x2 + 3x - 5

We can check the result:

(x2 + 3x - 5) * (x2 + 2 - x)

= x4 + 3x3 - 5x2 - x3 - 3x2 + 5x + 2x2 + 6x - 10

Grouping similar terms:

x4 + x3 (3-1) + x2 (-5-3 + 2) + x (5 + 6) - 10

= x4 + 2x3 - 6x2 + 11x - 10

Division OK.

Answer:

The result of the division is:

x2 + 3x - 5