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Byju's Answer
Standard IX
Mathematics
Trinomials of the Form ax² ± bx ± c
Factorize: 6 ...
Question
Factorize:
6
a
2
−
a
−
15
A
(
3
a
+
2
)
(
2
a
−
5
)
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B
(
2
a
−
3
)
(
3
a
−
5
)
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C
(
2
a
+
3
)
(
5
a
−
3
)
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D
(
2
a
+
3
)
(
3
a
−
5
)
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Solution
The correct option is
D
(
2
a
+
3
)
(
3
a
−
5
)
⇒
6
a
2
−
a
−
15
Split
(
−
1
)
into two parts such that
their product is (6)(-15) = -90 and their sum is -1
⇒
6
a
2
+
9
a
−
10
a
−
15
⇒
3
a
(
2
a
+
3
)
−
5
(
2
a
+
3
)
⇒
(
2
a
+
3
)
(
3
a
−
5
)
Suggest Corrections
0
Similar questions
Q.
6
a
2
−
13
a
+
6
=
?
(
a
)
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2
a
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3
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(
3
a
−
2
)
(
b
)
(
2
a
−
3
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(
3
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(
c
)
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(
d
)
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3
a
+
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−
3
)
Q.
Tick (✓) the correct answer:
6a
2
− 13a + 6 = ?
(a) (2a + 3)(3a − 2)
(b) (2a − 3)(3a + 2)
(c) (3a − 2)(2a − 3)
(d) (3a + 1)(2a − 3)
Q.
Factorize :
(
2
a
−
3
)
2
−
2
(
2
a
−
3
)
(
a
−
1
)
+
(
a
−
1
)
2
Q.
Find out the product:
2
a
,
33
a
2
,
5
a
4
Q.
Factorization:
(
2
a
−
3
)
2
−
2
(
2
a
−
3
)
(
a
−
1
)
+
(
a
−
1
)
2
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Standard IX Mathematics
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