Question

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

Answer 1

54x - 75 / 2x - 3

Explanation:

8 * 3 - 36 * 2 + 54x - 27 / 2x -3

you will need to multiply 8 with 3, and 36 with 2

which will give you 24 and 72

24 - 72 + 54x - 27 / 2x - 3

then up common terms together but they cant change places as in the numbers in the numerators stay with the other numbers in the numerator

54x - 75 / 2x - 3

Answer 2

4x2 - 12x+9

2x-3) 8x2 – 36x2 + 54x-27

8x3–1282

-24x2 + 54 x

-24x2 + 36%

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