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

Respuesta :

Answer:

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 [tex]\times[/tex] quotient + remainder

Here, dividend = [tex]8x^3-36x^2+54x-27[/tex]

Divisor = [tex]2x-3[/tex]

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

In step:

[tex]18x+27[/tex] , it should be 18x-27 as [tex]-3\times 9=-27[/tex] not +27

So, there is a multiplication error .

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

Step-by-step explanation:

Given :

Dividend = [tex]8x^3-36x^2+54x-27[/tex]

Divisor = [tex]2x-3[/tex]

Solution :

In step [tex]18x +27[/tex] there is mistake. It should be [tex]18x - 27[/tex] because [tex]-3 \times 9= -27[/tex] not +27.

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

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https://brainly.com/question/21416852?referrer=searchResults

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