Answer: [tex]f(n)=(n-7)(n+5)[/tex]
Step-by-step explanation:
1. You can rewrite the quadratic equation as following:
[tex]f(n)=n^{2}-2n-35[/tex]
2. To factor it, you must find two number that when you add them you obtain -2 and when you multiply them you obtain -35. These would be 5 and -7.
3. Therefore, you can write the function in the following intercept form:
[tex]f(n)=(n-7)(n+5)[/tex]
