# Anja divides (8×3 – 36×2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x c

Anja divides (8×3 – 36×2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x cubed minus 36 x squared 54 x minus 27 endlongdivisionsymbol. minus 8 x cubed minus 12 x squared to get a remainder of negative 24 x squared 54 x. minus 24 x squared 36 x to get a remainder of 18 x minus 27. minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9 she makes a subtraction error. she makes an error choosing the x-term in the quotient. she makes a multiplication error. she makes an error rewriting the problem in long division.

### 2 thoughts on “Anja divides (8×3 – 36×2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x c”

1. The Anja makes multiplication error, she writes 18x + 27 instead of 18x – 27 option third is correct.

### What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with “n” number of power in ascending or descending order.
We have dividend polynomial:
$$\rm 8x^3 -36x^2+54x-27$$
Divisor polynomial:
$$\rm 2x-3$$
If divide $$\rm 8x^3 -36x^2+54x-27$$ by $$\rm 2x-3$$ we will get,  quotient polynomial$$\rm 4x^2-12x+9$$, and remainder is zero but in the process of Anja’s divide she did multiplication error as:
9(2x – 3)  ⇒ 18x + 27
The correct way of multiplication is as follows:
9(2x – 3) ⇒ 18x – 27
Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x – 27 option third is correct.
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2. Anja divides (8×3 – 36×2 54x – 27) by (2x – 3) in this process she makes a multiplication error.
We have given,
Anja divides (8×3 – 36×2 54x – 27) by (2x – 3)
2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.

### What is the division of polynomials?

To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.
minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.
minus 24 x squared 36 x to get a remainder of 18 x minus 27.
minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.
Therefore we can conclude that she makes a multiplication error.