SP #4: Unit J Concept 5: Partial Fraction decomposition with distinct

The important keys to remember when solving factors is substituting in letters (A, B, ..) and to also combine like terms. The use of the letters A and B are to separate the denominators. The combining like terms divides the problem up in a way that is easier to understand. One must also remember to solve for the values by using elimination or substitution.

SV #5: Unit J Concept 3: Solving three-variable systems with Gauss-Jordan elimination/ matrices/ row-echelon form/back-substitution

The important key things to remember when doing matrices is to work out the problem carefully. The simplest negative or positive can ruin the entire matrix and force you to start all over. To make sure you got the right answer you plug in the equations into the calculator.

SP #5: Unit J Concept 6: Partial Fraction Decomposition with Repeated Factors

In these first steps, the viewer must pay attention to the common denominator. The denominator must be the same for the entire function meaning, the viewer must foil the necessary functions to fit with the common denominator.

Next, the viewer must follow the foiling steps closely, for the tinniest mistake can lead to a wrong answer. After foiling, the next step is to combine the functions together under the common denominator, and equal it to the original function. From here we cancel out the denominators and combine like terms.

Once we have combined like terms,we solve for each variable. The viewer can choose to solve for the variables with ether elimination, or substitution. I chose elimination. Once you find your first value, you plug it in with another function, and solve for the next variable. Finally, with 2 values found, the viewer plugs in the values with the last variable and solves to find the last of the three values. Finally, we put the values into the A/(x-1)+ B/(x-2)+ C/(x-2)^2 function.

Finally, we compose the function to check if it is correct!

WPP #5: Unit I Concept 3; Compund Interest

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