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Byju's Answer
Standard VIII
Mathematics
Factorisation by Common Factors
Factorize the...
Question
Factorize the following:
12
x
2
+
4
x
+
3
x
+
1
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Solution
Given:
12
x
2
+
4
x
+
3
x
+
1
=
4
x
(
3
x
+
1
)
+
1
(
3
x
+
1
)
=
(
4
x
+
1
)
(
3
x
+
1
)
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0
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Q.
41
x
−
12
x
2
−
16
=
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x
+
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x
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Q.
Factorize:
12
x
2
−
7
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Q.
Solve the following quadratic equations by factorization:
3
x
+
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+
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Q.
Find the factors of the polynomials given below.
(i) 2x
2
+ x – 1
(ii) 2m
2
+ 5m – 3
(iii) 12x
2
+ 61x + 77
(iv) 3y
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(v)
3
x
2
+
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x
+
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(vi)
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Q.
Solve:
∣
∣ ∣ ∣
∣
x
2
−
1
x
2
+
2
x
+
1
2
x
2
+
3
x
+
1
2
x
2
+
x
−
1
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x
2
+
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x
−
3
4
x
2
+
4
x
−
3
6
x
2
−
x
−
2
6
x
2
−
7
x
+
2
12
x
2
−
5
x
−
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∣
∣ ∣ ∣
∣
=
0
. Let sum of all values of x be k. Find -2k.
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