SV 1 Unit F Concept 10 4th and 5th Degree Polynomials

For this problem, we are focusing on finding the real and complex zeroes of a 4th degree polynomial. To solve for this polynomial, we will be using all the concepts that we learned throughout unit F to help find the zeroes of this polynomial. This video demonstrates how to find all the zeroes for the polynomial as well has helping you get a better understanding of the concept. 
The viewer needs to pay special attention to the Descartes rule of signs because many people have issues when dealing with this part of the polynomial. They should also pay attention to how the problem is solved by using synthetic division to get the polynomial to a binomial. Once reached to the binomial, the equation becomes very easy to solve by either using the quadratic formula or grouping method. It is important to remember that there is a possibility of imaginary or irrational zeroes.  

SP 2 Unit E Concept 7: Multiplicities and Graphs

This problem is to show my understanding about the multiplicities that are solved for when you factor a polynomial. It also shows the y- intercept as well as the end behavior to help others understand how I am able to graph it. The problem also shows the graph to show what the polynomial would look like if plotted on a graphing calculator. 

The viewer needs to pay special attention to the multiplicities and the end behavior. The end behavior helps tell how the end points of the graph and whether it goes up or down. The multiplicities help determine how the graph will pass the x-axis either through bouncing, going through it, or curving. These are some of the things that you, the viewer, should pay attention to when going over this problem. 

 Steps
1. Factor out the equation by splitting it up.
2. Set each factor equal to zero and solve
3. The solved are known as multiplicities
4. Multiplicities are 3M2, 4M1, and -2M1
5. End behavior show how the endpoints of the graph either go up or down. In this case they go up.
6. The y - intercept is found by plugging in 0 for all of the equations which shows that it is (0,-72)
7. The multiplicities determine how the graph passes the x-axis at the gates.
8. Roughly graph the equation according to multiplicities.

WPP 4 Unit 3 Concept 3: End Behavior

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WPP 3 Unit E: Concept 2: Maximum/Minimum Values of Quadratic By Calculator

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SP 1 Unit E Concept 1: Identifying The Properties of Quadratics

This problem is to show my understanding about quadratics that we learned when we watched the video podcast. The problem shows how to change it to a parent function equation as well as solving it.

The viewer should pay attention to the x intercepts as well as remembering how the axis should be labeled. They should also pay attention to the graph to see if it is plotted correctly. 

1st Picture: 

The equation I created. 

Moving the -8 to the other side.

Taking out the 2 from equation.

Completing the square to solve for missing.

Rewriting equation.

Solving for equation.

2nd Picture:

The rewritten parent function equation. 

The vertex based from the equation. 

the y-intercept by plugging in 0 for x.

The axis from the things inside parentheses.

The x-intercepts solved for in calculator. 

WPP 2 Unit A Concept 7: Linear Models

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WPP 1 Unit A Concept 6: Linear Models

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