Determine the Constants (Denoted by Capital Letters) So That the Equation

question 6

Multiple Choice

Determine the constants (denoted by capital letters) so that the equation is an identity. $\frac { x - 17 } { x \left( x ^ { 2 } + 2 \right) } = \frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 2 }$

• A) \(\begin{array} { l }
• A = 8 \frac { 1 } { 2 } \\
• B = 1 \\
• C = 8 \frac { 1 } { 2 }
• \end{array}\)
• B) \(\begin{array} { l }
• A = - 8 \frac { 1 } { 2 } \\
• B = 8 \frac { 1 } { 2 } \\
• C = 1
• \end{array}\)
• C) \(\begin{array} { l }
• A = 8 \frac { 1 } { 2 } \\
• B = 8 \frac { 1 } { 2 } \\
• C = - 1
• \end{array}\)
• D) \(\begin{array} { l }
• A = - 8 \frac { 1 } { 2 } \\
• B = 8 \frac { 1 } { 2 } \\
• C = 1
• \end{array}\)
• E) \(\begin{array} { l }
• A = - 8 \frac { 1 } { 2 } \\
• B = 8 \frac { 1 } { 2 } \\
• C = 2
• \end{array}\)

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