Answer:
Step-by-step explanation:
Take the area of the yard and subtract from it the area of the pool. In quadratic form, the area of the pool is
[tex]2x^2-x-28[/tex]
Subtracting the area of the pool from the area of the yard:
[tex]3x^2-14x-5-(2x^2-x-28)[/tex]
Since the negative in front of the parenthesis will change the signs inside:
[tex]3x^2-14x-5-2x^2+x+28[/tex]
Combine like terms to get the area left after the pool goes in:
[tex]x^2-13x+23[/tex]
