# Algebra 2

posted by .

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

• Algebra 2 -

ah ha, so this is why you want to divide polynomials
*******______ x^2____________________
(x-2) | x^3 + x^2 - 7 x + 2
********x^3 -2 x^2
********--------------------
************+3 x^2 - 7 x + 2

*******______ x^2_+3x__-1____
(x-2) | 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

## Similar Questions

1. ### Geometry

Can you check these multiple choice questions thanks. 1. What is the length of a rectangle that has an area of 20 square meters and a perimeter of 18 meters. A. 10 meters B. 2 meters C. 5 meters D. 9 meters Answer: B 2. Find the minimum …
2. ### algebra 2

a rectangle has an area of ( x3+x2-10x+8) square meters, and a width of (x+4) meters. Find its length.
3. ### algebra

The area of a rectangle is 21 square meters. Find the length and width of the rectangle if its length is 4 meters greater than its widith. using Area of a rectangle = (width)(Length)
4. ### calculus

1. A rectangle has a constant area of 200 square meters and its length L is increasing at the rate of 4 meters per second. a. Find the width W at the instant the width is decreasing at the rate of .4 meters per second. b. At what rate …
5. ### calculus

1. A rectangle has a constant area of 200 square meters and its length L is increasing at the rate of 4 meters per second. a. Find the width W at the instant the width is decreasing at the rate of .4 meters per second. b. At what rate …
6. ### pre-algebra

Can you help me figure this? The area of a rectangle is 14 square meters. Find the length and width of the rectangle if it's length is 5 meters greater than its width. Use an equation and the formula for the area of a rectangle=(width)(length).
7. ### Geometry

A rectangle has an area of 6 square meters. What will be the area of the rectangle if each side length is increased by a factor 5?
8. ### Algebra

The length of a rectangle is two meters less than twice the width. If the area of the rectangle is 222 square meters, find the dimensions
9. ### Math

A rectangle is 40 meters longer than its width if its length were increased by 10 meters and its width would be decreased by 5 meters its area would be increased by 190 square meters. Find the dimensions
10. ### Math

The length of a rectangle is 5 meters more than twice the width, and the area of a rectangle is 42 square meters. Find the length and width of the rectangle.

More Similar Questions