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Mathematics
Problem
A polynomial of least degree has zeros
2
2
2
,
−
1
-1
−
1
and
4
4
4
. If its value at
x
=
0
x=0
x
=
0
is
40
40
40
, which of the following is that polynomial? a)
5
x
3
−
25
x
2
−
10
x
+
40
5x^{3}-25x^{2}-10x+40
5
x
3
−
25
x
2
−
10
x
+
40
b)
x
3
−
5
x
2
+
2
x
+
48
x^{3}-5x^{2}+2x+48
x
3
−
5
x
2
+
2
x
+
48
c)
5
x
3
−
25
x
2
+
10
x
+
40
5x^{3}-25x^{2}+10x+40
5
x
3
−
25
x
2
+
10
x
+
40
d)
−
5
x
3
−
15
x
2
+
30
x
+
40
-5x^{3}-15x^{2}+30x+40
−
5
x
3
−
15
x
2
+
30
x
+
40
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