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Byju's Answer
Standard X
Mathematics
Factorisation of Quadratic Polynomials
Find the zero...
Question
Find the zeroes of the following quadratic polynomial
6
x
2
+
x
−
5
.
A
1
2
,
1
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B
6, 5
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C
5
6
,
−
1
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D
2, 1
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Solution
The correct option is
C
5
6
,
−
1
6
x
2
+
x
−
5
=
0
We need to find two numbers 'a' and 'b' such that
a
±
b
=
1
,
a
×
b
=
−
30
6
−
5
=
1
,
−
5
×
6
=
−
30
⇒
6
x
2
+
6
x
−
5
x
−
5
=
0
⇒
6
x
(
x
+
1
)
−
5
(
x
+
1
)
=
0
⇒
(
6
x
−
5
)
(
x
+
1
)
=
0
⇒
x
=
5
6
o
r
x
=
−
1
Thus, the zeroes of the polynomial
6
x
2
+
x
−
5
are
5
6
and -1.
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0
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