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Byju's Answer
Standard X
History
Spread of the Mutiny
Divide 10x4+1...
Question
Divide
10
x
4
+
17
x
3
−
62
x
2
+
30
x
−
3
by
2
x
2
+
7
x
+
1
and find quotient and remainder.
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Solution
Given,
f(x) =
10
x
4
+
17
x
3
−
62
x
2
+
30
x
−
3
g(x) =
2
x
2
+
7
x
+
1
So, by dividing we get,
Therefore, quotient q(x) is
5
x
2
−
9
x
−
2
and remainder r(x) is 53x-1.
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Similar questions
Q.
Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) in each of the following :
(i) f(x) = x
3
− 6x
2
+ 11x − 6, g(x) = x
2
+ x + 1
(ii) f(x) = 10x
4
+ 17x
3
− 62x
2
+ 30x − 3, g(x) = 2x
2
+ 7x + 1
(iii) f(x) = 4x
3
+ 8x + 8x
2
+ 7, g(x) = 2x
2
− x + 1
(iv) f(x) = 15x
3
− 20x
2
+ 13x − 12, g(x) = 2 − 2x + x
2