First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that <em>this is a quadrilateral</em>.
Second, all of the equations have the slope of <em>0 or undefined</em>, so it is a rectangle.
Lastly, the four points of intersection shows us that the side lengths are <em>3 and 5</em> units, so the area of it is 15 units².
Answer:
+ 3x³ - 3x - 1
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width ) , thus
A = (3x² - 2x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, then
A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
= 3 + 3x³ + 3x² - 2
- 2x² - 2x - x² - x - 1 ← collect like terms
= + 3x³ - 3x - 1