SP #4: Unit J Concept 5 - Partial Fraction Decomposition with Distinct Factors

 
For part 1, make sure to pay special attention to multiplying out the numerator. Make sure to carefully distribute, this including negatives, otherwise one mistake could change your whole answer.

 

For part 2, the viewer should be careful when writing the equations. It is important to copy correctly and not forget any negative signs.

For part 2 (wasn't enough room), it is also crucial the viewer remembers to cancel out the x's.

For part 3, plug in the coefficients into the calculator. It is crucial you plug in the right numbers or else you will get the wrong answer. It is important to recheck what you plugged in.
                    
For part 4, follow the necessary steps to find the ordered triple. The viewer should be able to follow the steps as stated in the image. The fourth column provides the ordered triple, making them the numerators of the original equation found in part 1.