Expand the Quotient by Partial Fractions $$\frac { 3 x + 1 } { x ^ { 2 } - 8 x + 15 }$$

question 288

Multiple Choice

Expand the quotient by partial fractions.
- $$\frac { 3 x + 1 } { x ^ { 2 } - 8 x + 15 }$$

• A) \(\frac { 16 } { x - 5 } + \frac { 10 } { x - 3 }\)
• B) \(\frac { 8 } { x - 5 } + \frac { 5 } { x - 3 }\)
• C) \(\frac { 8 } { x - 5 } + \frac { - 5 } { x - 3 }\)
• D) \(\frac { 8 } { x - 5 } + \frac { - 5 } { ( x - 5 ) ( x - 3 ) }\)

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Definitions:

Partial Sum

The sum of a portion of a sequence of terms, or a method of summing certain numbers by grouping.

N Th

Referring to an unspecified member of a series or set.

Increasing Annuity

An annuity payment plan where the payment amounts increase over time.

Compounded Monthly

A method of interest calculation where the interest earned is added to the principal sum each month, causing the interest to grow exponentially over time.