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Byju's Answer
Standard VIII
Mathematics
Factors of Algebraic Expressions and Factorisation
If 3 is a z...
Question
If
3
is a zero of the polynomial
x
2
+
2
x
ā
a
, then find
a
.
A
10
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B
12
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C
15
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D
18
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Solution
The correct option is
C
15
Let
p
(
x
)
=
x
2
+
2
x
−
a
As the zero of this polynomial is
3
, we know that
p
(
3
)
=
0
.
x
2
+
2
x
−
a
=
0
Put
x
=
3
, we get
(
3
)
2
+
2
(
3
)
−
a
=
0
⇒
9
+
6
−
a
=
0
⇒
15
−
a
=
0
⇒
−
a
=
−
15
⇒
a
=
15
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