Math Question
![Question 8 of 10
Which of the following is the quotient of the rational expressions shown below?
\[
\frac{x-4}{2 x^{2}} \div \frac{2 x+3}{x+4}
\]
A. \( \frac{2 x}{2 x^{2}+2 x+3} \)
B. \( \frac{2 x^{2}-5 x-12}{2 x^{3}+8 x^{2}} \)
C. \( \frac{-2 x-3}{2 x^{2}} \)
D. \( \frac{x^{2}-16}{4 x^{3}+6 x^{2}} \)](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/28/39cca4ad-6c78-4e23-bcf1-ef31c70f0d90.png "Question 8 of 10
Which of the following is the quotient of the rational expressions shown below?
\[
\frac{x-4}{2 x^{2}} \div \frac{2 x+3}{x+4}
\]
A. \( \frac{2 x}{2 x^{2}+2 x+3} \)
B. \( \frac{2 x^{2}-5 x-12}{2 x^{3}+8 x^{2}} \)
C. \( \frac{-2 x-3}{2 x^{2}} \)
D. \( \frac{x^{2}-16}{4 x^{3}+6 x^{2}} \)")
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