The area of a rectangular painting is given by the trinomial x2 + 2x – 15. What are the possible dimensions of the painting? Use factoring.
1 (x + 5) and (x – 3)
2 (x + 5) and (x + 3)
3 (x – 5) and (x – 3)
4 (x – 5)and (x + 3)
The given trinomial is x^2 + 2x - 15. To find the dimensions of a rectangle, we need to find two numbers whose product is -15 and whose sum is 2.
By factoring the trinomial, we can rewrite it as (x + 5)(x - 3). So the possible dimensions of the painting are (x + 5) and (x - 3).
Therefore, the correct answer is 1. (x + 5) and (x - 3).