Algebra 2
posted by Sheryl .
1. A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.

ah ha, so this is why you want to divide polynomials
*******______ x^2____________________
(x2)  x^3 + x^2  7 x + 2
********x^3 2 x^2
********
************+3 x^2  7 x + 2
*******______ x^2_+3x__1____
(x2)  x^3 + x^2  7 x + 2
********x^3 2 x^2
********
************+3 x^2  7 x + 2
************+3 x^2 6 x
************
******************* 1 x + 2
******************* 1 x + 2
*******************
**********Remainder = 0
so
x^2 +3 x  1