Determine the quotient when 6n² + 5n + 12 is divided by 2n + 3?
- 2n + 3
- 2n – 3
- 3n – 2
- None of these
Explanation
To find the quotient, perform polynomial long division:
Divide 6n² + 5n + 12 by 2n + 3:
6n² + 5n + 12 | 2n + 3
First, divide 6n² by 2n:
3n
Multiply 2n + 3 by 3n:
6n² + 9n
Subtract this from the original polynomial:
-4n + 12
Now, divide -4n by 2n:
-2
Multiply 2n + 3 by -2:
-4n - 6
Subtract this from -4n + 12:
18
Since 18 is a constant and cannot be divided by 2n + 3, the remainder is 18.
The quotient is:
3n - 2
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اس سوال کو وضاحت کے ساتھ پڑھیں
- (t² + 4)(t - 2)(t - 2)
- (t² - 4)(t² - 4)
- (t² + 4)(t + 2)(t - 2)
- None of these
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- +4
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- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
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