Answer:
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 [tex]6x^3+1-14x[/tex] is divided by [tex]3x+6[/tex].
In this case,
[tex]Dividend=6x^3+0x^2-14x+1[/tex]
[tex]Divisor=3x+6[/tex]
Using long division we get
[tex]\frac{6x^3+1-14x}{3x+6}=2 x^2 - 4 x+ \frac{10}{3}-\frac{19}{3 (x + 2)}[/tex]
So,
[tex]Quotient=2 x^2 - 4 x + \frac{10}{3}[/tex]
[tex]Remainder =-19[/tex]
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.
