SOLUTION: find an expression for the length of a rectangle with the area of 3x^3-14x^2+2x+4, and width of 3x-2.

Algebra ->  Triangles -> SOLUTION: find an expression for the length of a rectangle with the area of 3x^3-14x^2+2x+4, and width of 3x-2.      Log On


   

Question 955972: find an expression for the length of a rectangle with the area of 3x^3-14x^2+2x+4, and width of 3x-2.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find an expression for the length of a rectangle with the area of 3x^3-14x^2+2x+4, and width of 3x-2.
length*width=area
length=area/width=%283x%5E3-14x%5E2%2B2x%2B4%29%2F%283x-2%29
perform long division:
...............x^2.........-4x............-2..
..3x-2..|..3x^3......-14x^2........2x....4...
..............3x^3.......-2x^2.............
............................-12x^2........2x..
............................-12x^2........8x..
..............................................-6x....4.....
..............................................-6x....4......
................................................0.....0......
length of rectangle = x^2-4x-2