Question

I NEED HELP ASAP

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

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 $6x^3+1-14x$ is divided by $3x+6$.

In this case,

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

$Divisor=3x+6$

Using long division we get

$\frac{6x^3+1-14x}{3x+6}=2 x^2 - 4 x+ \frac{10}{3}-\frac{19}{3 (x + 2)}$

So,

$Quotient=2 x^2 - 4 x + \frac{10}{3}$

$Remainder =-19$

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.