Anja divides (8x3 - 36x2 + 54x - 27) by (2x - 3) as shown below. what error does anja make?

4x2 - 12x+9

2x-3) 8x2 – 36x2 + 54x-27

8x3–1282

-24x2 + 54 x

-24x2 + 36%

18x-27

18x+27

-54

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

The correct option is c) she makes a multiplication error.

Step-by-step explanation:

Given :

Dividend =

Divisor =

Solution :

In step there is mistake. It should be because not +27.

Therefore the correct option is c) she makes a multiplication error.

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There is a multiplication error

Step-by-step explanation:

Long division method is used to divide greater  number by a smaller number.

Here, greater number is known as the dividend and smaller number is known as divisor.

As per division algorithm,

Dividend = Divisor quotient + remainder

Here, dividend =

Divisor =

Here, we need to find the error in the long division .

In step:

, it should be 18x-27 as not +27

So, there is a multiplication error .

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