Math Question
![Anja divides \( \left(8 x^{3}-36 x^{2}+54 x-27\right) \) by \( (2 x-3) \) as shown below. What error does Anja make?
\[
\begin{array}{r}
2 x - 3 \longdiv { 8 x ^ { 3 } - 3 6 x ^ { 2 } + 5 4 x - 2 7 } \\
\frac{8 x^{3}-12 x^{2}}{-24 x^{2}+54 x} \\
\frac{-24 x^{2}+36 x}{18 x-27} \\
\frac{18 x+27}{-54}
\end{array}
\]
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.](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/23/d299c6c8-aafd-4b70-b4c2-6749a5a509a8.png "Anja divides \( \left(8 x^{3}-36 x^{2}+54 x-27\right) \) by \( (2 x-3) \) as shown below. What error does Anja make?
\[
\begin{array}{r}
2 x - 3 \longdiv { 8 x ^ { 3 } - 3 6 x ^ { 2 } + 5 4 x - 2 7 } \\
\frac{8 x^{3}-12 x^{2}}{-24 x^{2}+54 x} \\
\frac{-24 x^{2}+36 x}{18 x-27} \\
\frac{18 x+27}{-54}
\end{array}
\]
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.")
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