SP #4 - Unit J Concept 5: Partial Fraction Decomposition with distinct factors

 

 For part 1, special attention should be payed to multiplying out the numerator. There is a lot of room for small mistakes, so it is important to make sure your math is correct. Also, be careful when distributing negative numbers, you must distribute the negative to everything in the parentheses, then combine like terms!

  

 For part 2, the viewer should be careful when writing the equations. It is important to copy correctly and not forget any negative signs. 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. It is important not to forget the closing parentheses! The fourth column provides the ordered triple, notice that these are the numerators of the original equation found in part 1!