Provide an Appropriate Response $\frac { x ^ { 3 } - 7 x + 12 } { x ^ { 2 } - 13 x + 40 }$

question 37

Multiple Choice

Provide an appropriate response.
-You are finding the partial fraction decomposition of the expression $\frac { x ^ { 3 } - 7 x + 12 } { x ^ { 2 } - 13 x + 40 }$ .
You should ...

• A) Solve the equation \(x ^ { 3 } - 7 x + 12 = A ( x - 5 ) + B ( x - 8 )\)
• B) Solve the equation \(x ^ { 3 } - 7 x + 12 = ( A x + B ) \left( x ^ { 2 } - 13 x + 40 \right)\)
• C) Solve the equation \(x ^ { 2 } - 13 x + 40 = ( A x + B ) \left( x ^ { 3 } - 7 x + 12 \right)\)
• D) Use long division to divide the numerator by the denominator

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