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Mathematics : asked on nhdhdj
 20.06.2020

Study the partial work shown for the following division problem. Divide 6x3 + 1 − 14x by 3x + 6. 3 x + 6 StartLongDivisionSymbol 6 x cubed minus 14 x + 1 EndLongDivision Symbol. minus 6 x cubed + 12 x squared to get a remainder of negative 26 x squared + 1 and a quotient of 2 x squared. Do you see any error in the work so far? Explain the error in the work and how you might prevent it.

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17.02.2022, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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Yes, there is an error because -14x and 12x² are not like terms, so they can’t be subtracted. To prevent this error, be sure to line up like terms.

Step-by-step explanation:

We need to check whether the given work is error free or not.

In the given problem Study the partial work shown for the following, №15221702, 20.06.2020 23:40 is divided by Study the partial work shown for the following, №15221702, 20.06.2020 23:40.

In this case,

Study the partial work shown for the following, №15221702, 20.06.2020 23:40

Study the partial work shown for the following, №15221702, 20.06.2020 23:40

Using long division we get

Study the partial work shown for the following, №15221702, 20.06.2020 23:40

So,

Study the partial work shown for the following, №15221702, 20.06.2020 23:40

Study the partial work shown for the following, №15221702, 20.06.2020 23:40

It the given work there is an error because -14x and 12x² are not like terms, so they can’t be subtracted. To prevent this error, be sure to line up like terms.


Study the partial work shown for the following, №15221702, 20.06.2020 23:40
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