If a polynomial "contains", in a multiplicative sense, a factor
, then the polynomial has a zero at
.
So, you polynomial must contain at least the following:

If you multiply them all, you get

Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.
If you want the polynomial to be zero at least at the four points you've given, you can multiply the given polynomial by every other function.
Answer:
A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?
Answer:
I think so, but don't lose sight