What shape do degree 3 functions have?

Let ()
p
(
x
)
be a polynomial of degree 3
3
with real coefficients. Which of the following is possible ?

a) ()
p
(
x
)
has no real roots

b) ()
p
(
x
)
has exactly two real roots

c) (1)=−1,(2)=1,(3)=11,(4)=35
p
(
1
)
=
−
1
,
p
(
2
)
=
1
,
p
(
3
)
=
11
,
p
(
4
)
=
35

d) −1
i
−
1
and +1
i
+
1
are roots of ()
p
(
x
)
, where =−1‾‾‾√