I didn't get all the part with the tiles, but here's the general answer:
given a polynomial

we have that
is a factor of
if and only if k is a root of
, i.e. if

So, given the polynomial

We can check if
is a factor by evaluating
:

So,
is not a factor.
Similarly, we can evaluate
to check if
are factors:

So, only
is a factor of 
Answer:
2
Step-by-step explanation:
4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2
Answer:
4i√5
Step-by-step explanation: