Subtract the following polynomials, then place the answer in the pro
descending powers of x.
(-6.7x2 + 2.3x y + 5.2) - (-14.9x2 - 3.5x y+ 7.1)
1|2|3|4|5|6|7|8|9|0|0|| | . |-| + " ""

Explanation:

The polynomial subtraction is:

The ruls to add or subtract polynomials is to add or subtract like terms.

LIke terms are the terms with the same variables each raised to the same power. So, the like terrms for those two polynomilas are:

The next step is to use the distributive property: you must distribute the subraction symbol before the parenthesis through every term inside the parenthesis. For this, remember the rule of the signs:

So, the result is:

And that is ordered in descending powers of x (x² has order 2, xy has order 1 on each variable, and the constant terms have order 0).