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Byju's Answer
Standard XII
Mathematics
Graph of Quadratic Expression
The quadratic...
Question
The quadratic polynomial
p
(
x
)
has the following properties:
p
(
x
)
≥
0
for all real numbers,
p
(
1
)
=
0
and
p
(
2
)
=
2
. Then the value of
p
(
3
)
is
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Solution
p
(
x
)
≥
0
and
p
(
1
)
=
0
⇒
p
(
x
)
=
k
(
x
−
1
)
2
,
k
>
0
Graph of the quadratic equation,
Given :
p
(
2
)
=
2
⇒
k
=
2
∴
p
(
x
)
=
2
(
x
−
1
)
2
Now,
p
(
3
)
=
8
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0
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Q.
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