Question

I NEED HELP ASAP

Explain the error in the work and how you might prevent it.

ANSWER:
-14x and 12x² are not like terms, so they can’t be subtracted. To prevent this error, be sure to line up like terms.

Answer 1

For this case we have the following polynomials:
Dividend:
`6x ^ 3 - 14x + 1`
Divider:
`3x + 6`
We observe that when dividing the polynomials, we have the following quotient:
Quotient:
`2x ^ 2`
When making the division we see that we must subtract the following polynomials:

`(6x ^ 3 - 14x + 1) - (6x ^ 3 - 12x ^ 2)`
The mistake is:

`-14x - 12x ^ 2 = -26x ^ 2`
Since the terms are not similar, we can not subtract them.
The correct subtraction is:

`(6x ^ 3 - 14x + 1) - (6x ^ 3 - 12x ^ 2) = - 12x ^ 2 - 14x + 1`
Answer:
Error in subtraction of terms not similar

Answer 2

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.

Explanation:

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

In the given problem
`6x^3+1-14x` is divided by
`3x+6`.

In this case,

`Dividend=6x^3+0x^2-14x+1`

`Divisor=3x+6`

Using long division we get

`(6x^3+1-14x)/(3x+6)=2 x^2 - 4 x+ (10)/(3)-(19)/(3 (x + 2))`

So,

`Quotient=2 x^2 - 4 x + (10)/(3)`

`Remainder =-19`

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.