The gardener carefully selects different flowers based on the size and shape of each plot. As he combines and rearranges the plots, he uses polynomial addition and multiplication to calculate the total planting area. The area of each plot is represented by a polynomial.
Plot 1: \(x^{2}-9\)
Plot 2: \(3x+6\)
Plot 3: \(x^{2}+5x+6\)
Plot 4: \(x^{3}-8\)
Plot 5: \(2x^{2}-5x+3\)
Based on the above situation try to find the answers for the below questions.
1. Which plot has an area that can be factored as \((x+3)(x-3)\)?
2. What are the zeroes of the area polynomial for Plot \(2\)?
3. Which plot has an area polynomial that can be factored using three linear factors?
4. Which plot has an area polynomial that can be factored as \((2x-3)(x-1)\)?