Option 1 is correct that is (x+3)(x-15)
Step-by-step explanation:
the given expression is ![x^2-12x-45](/tpl/images/0288/0893/deb73.png)
We have to tell its factored form
We will factorize it by middle term, splitting equation being quadratic
it can be rewritten as:
![x^2-15x+3x-45](/tpl/images/0288/0893/165c1.png)
![\Rightarrow x^2-15x+3x-45](/tpl/images/0288/0893/5ff8a.png)
![\Rightarrow x(x-15)+3(x-15)](/tpl/images/0288/0893/eb10b.png)
![\Rightarrow (x+3)(x-15)](/tpl/images/0288/0893/473ce.png)
Hence, Option 1 is correct
Rest of the options will be discarded.