anja divides (8x³ - 36x² + 54x - 27) by (2x - 3) as shown below. what error does anja make?\n\nshe makes a…

anja divides (8x³ - 36x² + 54x - 27) by (2x - 3) as shown below. what error does anja make?\n\nshe makes a subtraction error.\nshe makes an error choosing the x - term in the quotient.\nshe makes a multiplication error.\nshe makes an error rewriting the problem in long division.

anja divides (8x³ - 36x² + 54x - 27) by (2x - 3) as shown below. what error does anja make?\n\nshe makes a subtraction error.\nshe makes an error choosing the x - term in the quotient.\nshe makes a multiplication error.\nshe makes an error rewriting the problem in long division.

Answer

Explanation:

Step1: Analyze the multiplication step

When multiplying ((2x - 3)) by (-12x) in the long - division process, the correct result is ((2x)\times(-12x)+(-3)\times(-12x)=-24x^{2}+36x). When multiplying ((2x - 3)) by (9), the correct result is ((2x)\times9+(-3)\times9 = 18x-27).

Step2: Analyze the subtraction step

We have ((-24x^{2}+54x)-(-24x^{2}+36x)=(-24x^{2}+54x)+24x^{2}-36x = 18x). And ((18x - 27)-(18x - 27)=0). But Anja wrote ((18x - 27)-(18x + 27)=18x-27 - 18x-27=-54).

Answer:

She makes a subtraction error.