Use Division to Write the Rational Function in the Form $\frac { 5 x ^ { 2 } - x - 10 } { x ^ { 2 } - 4 }$

question 98

Multiple Choice

Use division to write the rational function in the form q(x) + r(x) /d(x) , where the degree of r(x) is less than the degree of
d(x) . Then find the partial fraction decomposition of r(x) /d(x) .
- $\frac { 5 x ^ { 2 } - x - 10 } { x ^ { 2 } - 4 }$

• A) \(5 + \frac { 2 } { x - 2 } - \frac { 3 } { x + 2 }\)
• B) \(\frac { 2 } { x - 2 } - \frac { 3 } { x + 2 }\)
• C) \(5 + \frac { 3 } { x - 2 } - \frac { 2 } { x + 2 }\)
• D) \(5 + \frac { 2 } { x - 2 } + \frac { 3 } { x - 2 }\)

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