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Mathematics
Mathematics
Problem
If
x
=
1
x=1
x
=
1
is a zero of the quadratic polynomial
a
x
2
+
b
x
+
c
ax^{2}+bx+c
a
x
2
+
b
x
+
c
(
a
≠
0
)
(a\neq 0)
(
a
=
0
)
, which one of the following relations must hold between
a
,
b
,
a,\,b,
a
,
b
,
and
c
c
c
? a)
a
−
b
+
c
=
0
a-b+c=0
a
−
b
+
c
=
0
b)
a
+
b
+
c
=
0
a+b+c=0
a
+
b
+
c
=
0
c)
a
−
b
−
c
=
0
a-b-c=0
a
−
b
−
c
=
0
d)
a
+
b
−
c
=
0
a+b-c=0
a
+
b
−
c
=
0
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