Find the Partial Fraction Decomposition for the Rational Expression $\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$

question 351

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$

• A) \(\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)
• B) \(\frac { 7 x + 4 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)
• C) \(\frac { 4 x + 8 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)
• D) \(\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { 7 } { x - 3 }\)

Assess the appropriateness of nonparametric tests over parametric tests.

Understand the validity conditions and limitations of the chi-square approximation.

Identify the correct formula for calculating degrees of freedom in contingency tables.

Formulate null and alternative hypotheses for hypothesis testing involving multiple proportions or binomial parameters.

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