Answer:
Step-by-step explanation:
Area of a rectangle is found by multiplying length times width. We are given the area and the length, and need to solve for width. The equation to begin this process is
To solve for the width, we divide the m+10 away, giving us:
Use synthetic division for this, with a value of -10:
-10 | 1 2 -80
Bring down the 1 and multiply it by -10, and put that product up under the 2:
-10 | 1 2 -80
-10
----------------------
1
Now add 2 and -10 and multiply that sum by -10 and put it up under the -80
-10 | 1 2 -80
-10 80
------------------------
1 -8 0
The remainder is 0, so the depressed polynomial is 1m - 8. That is the factor that represents the width of the rectangle. You could have also done long division of polynomials, but that is much to difficult to type out.