Question

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

Answer 1

Answer:

She makes a multiplication error on the last step.

Step-by-step explanation:

           4x^2 - 12x + 9

          ------------------------------------

2x - 3) 8x^3 - 36x^2 + 54x - 27

          8x^3 -  12x^2

          ------------------

                     -24x^2 + 54x

                     -24x^2 + 36x

                      ------------------

                                    18x - 27

                                    18x - 27  <-------- she makes this 18x + 27 (multiply error).

                                    ................

Answer 2

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 $\times$ quotient + remainder

Here, dividend = $8x^3-36x^2+54x-27$

Divisor = $2x-3$

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

In step:

$18x+27$ , it should be 18x-27 as $-3\times 9=-27$ not +27

So, there is a multiplication error .