Decompose into Partial Fractions $$\frac { 7 x ^ { 2 } - 69 x + 18 } { \left( x ^ { 2 } + 3 x - 9 \right) ( x - 7 ) }$$

question 6

Multiple Choice

Decompose into partial fractions.
- $$\frac { 7 x ^ { 2 } - 69 x + 18 } { \left( x ^ { 2 } + 3 x - 9 \right) ( x - 7 ) }$$

• A) \(\frac { 2 x } { x ^ { 2 } + 3 x - 9 } - \frac { 9 } { x - 7 }\)
• B) \(\frac { 9 x } { x ^ { 2 } + 3 x - 9 } + \frac { 2 } { x - 7 }\)
• C) \(\frac { 9 x } { x - 7 } - \frac { 2 } { x ^ { 2 } + 3 x - 9 }\)
• D) \(\frac { 9 x } { x ^ { 2 } + 3 x - 9 } - \frac { 2 } { x - 7 }\)

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Definitions:

Normally Distributed

A symmetric probability distribution centered around the mean, illustrating that occurrences are more frequent near the mean and less frequent as they move away from it.

Critical Value

A threshold value used in hypothesis testing, which a test statistic must exceed to reject the null hypothesis.

Chi-squared Test

A chi-squared test is a statistical method used to assess the differences between observed and expected frequencies in one or more categories.

Expected Values

The long-term average or mean value of a random variable over numerous trials or occurrences.