SV#1: Unit F Concept 10: Given Polynomials with 4th or 5th degree

This problem is about knowing how to solve 4th or 5th degree polynomial in terms of finding the zeroes and factorization. Concept 10 goes over most of the previous concepts in Unit F. Those concepts will help us figure out on how to solve these kind of problems. This includes the p & q's, Decartes Rule of Sign, factoring, etc.

The viewer needs to pay special attention to the possible rational zeroes because it narrows down to the possibilities of what kind of zeroes the problem may have. Make sure you use the quadratic formula correctly since many people get those mixed up and confused! Simplify your answer as much as possible.

SP #2: Unit E Concept 7: Graphing polynomials, including: x-int, y-int, zeroes (with multiplicities) and end behavior

     This problem demonstrates the techniques of graphing a polynomial equation, which includes the end behavior, finding x & y intercepts, and zeroes (multiplicities). The graphs are very similar to Concept 4, except now we have to determined the humps or the way it should be shaped in the middle of the graph. The multiplicities will let us know if we should either go through, bounce, or curve in the graph.

   Make sure to pay close attention to the multiplicities and the end behavior. The multiplicities let us know what is going on in the middle of the graph, while the end behavior tells us what type of graph it is, whether it is an odd-positive, odd-negative, even-positive, or an even-negative graph. Also, make sure to pay attention to the y-intercept. It'll tell you how high the "hump" should go.


Steps and Explanations!! 1. Factor out the equation carefully. 2. Determine the end behavior based on the leading coefficient and degree of the original equation. Make sure to also write your notation based on the type of graph it is! 3. List out your x-intercepts based on what you just factored. Don't forget to include the multiplicities. 4. Find the y-intercept by plugging in zero or "x". 5. Graph! Make sure to use the end behavior and the x & y intercepts to graph!

WPP #4: Unit E Concept 3: Finding Maximum and Minimum Values of Quadratic Applications using calculator, interpretation of solutions

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WPP #3: Unit E Concept 2: Finding Maximum and Minimum Values of Quadratic Applications using calculator, interpretation of solutions

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SP #1: Unit E Concept 1: Identifying x-intercepts, y-intercepts, Vertex (max/min), Axis of Quadratics and Graphing

1st paragraph: This problem is about changing the standard equation to a parent function equation in order to be able to graph the quadratic. You will need to figure out your vertex, y-intercept, x-intercept, and axis of symmetry. Steps are required to convert your equation and to find your intercepts. By the end, you will use all these tools to graph your quadratic. Remember, you cannot plot imaginary answers. 2nd paragraph: To start off with full understanding, you will need to pay attention to changing your equations. You must complete the square in order to go from a standard equation to a parent function equation. Your vertex is (h,k). But remember, your "h" is the opposite to what you think it is. For instance, (x-2)^2, your "h" would 2. When you think of axis, be clear that it is the same as axis of symmetry or axis of line symmetry. When you plot your graph, it should be thoroughly and relatively easy once you got your points. Steps & Explanations!! 1. You must complete the square in order to convert the equation. Subtract 6 from both sides and complete the square by using (b/2)^2. 2. Vertex is (h,k). Remember "h" is the opposite to what you think it is! This graph is a minimum because the "a" is positive. 3. Find your y-intercept by plugging in zero for x on your standard form equation. 4. The Axis or axis of symmetry is determined by x=h. 5. Solve your x-intercepts by plugging in to your completing the square process. So you should plug it into something like "2(x+3)^2 = 12. By the end, remember to plug in all of your points that you have found onto the graph. Remember to use the axis of symmetry.

WPP #2: Unit A Concept 7

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WPP #1: Unit A Concept 6: Writing and Solving Linear Model Word Problems

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