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Byju's Answer
Standard IX
Mathematics
Remainder Theorem
Prove that 3x...
Question
Prove that (3x + 7) is a factor of
(
6
x
3
+
29
x
2
+
44
x
+
21
)
.
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Solution
∵
The remainder is
0
Therefore,
(
3
x
+
7
)
is a factor of
(
6
x
3
+
29
x
2
+
44
x
+
21
)
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0
Similar questions
Q.
The product of two polynomials is
6
x
3
+
29
x
2
+
44
x
+
21
and one of the polynomials is
3
x
+
7
. Find the other polynomial.
Q.
For polynomial
P
(
x
)
=
6
x
3
+
29
x
2
+
44
x
+
21
,find P(-2).
Q.
Solve:
3
x
+
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4
x
+
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=
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x
+
4
4
x
+
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Q.
Without actual division, prove that 2x
4
− 6x
3
+ 3x
2
+ 3x − 2 is exactly divisible by x
2
− 3x + 2.
Q.
Solve the following equation and verify your answer:
3
x
+
5
4
x
+
2
=
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+
4
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