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Mathematics
Problem
Show that the polynomial
x
4
p
+
x
4
q
+
1
+
x
4
r
+
2
+
x
4
s
+
3
x^{4p} + x^{4q+1} + x^{4r+2} + x^{4s+3}
x
4
p
+
x
4
q
+
1
+
x
4
r
+
2
+
x
4
s
+
3
is divisible by
x
3
+
x
2
+
x
+
1
,
where
p
,
q
,
r
,
s
∈
N
.
x^3 + x^2 + x + 1, \text{ where } p, q, r, s \in N.
x
3
+
x
2
+
x
+
1
,
where
p
,
q
,
r
,
s
∈
N
.
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