SV #1: Unit 7 Concept 10: Finding all zeroes (real & complex)

This problem is about solving for the zeroes and finding the factorization of -22x^4-167x^3-103x^2+47x +5. For this problem, you have to find the p's and q's which is the possible real/rational zeroes. Then, you need to find the possible positive/negative real zeroes using Decartes Rule of Signs. Then, you must use synthetic division and plug in numbers form your p/q list. Once you have a quadratic, you can factor or use the quadratic formula to solve and get your final zeroes.

The viewer must pay special attention a couple of things. The viewer must pay attention to finding the possible real/rational zeroes. This way, the viewer eliminates many numbers that they can plug in while doing the synthetic division, The viewer must also pay attention to finding the possible positive/negative real zeroes. This involves Decartes Rule of Signs and if you do this right, then you can eliminate some numbers from your p/q list. The viewer must also pay attention to distributing negatives properly while doing the quadratic formula. This makes is easier for the viewer to do their work.

SP #2: Unit E Concept 7: Graphing Polynomials, uncluding: x-int, y-int, zeroes (with multiplicities), end behavior.

This problem is about solving a polynomial with a fourth degree and then graphing it. To find the x-intercepts, you must factor the polynomial. From here, you can find the multiplicities of it. Once knowing what the multiplicities are, then you will know if it will go through, bounce, or curve.

The viewer needs to pay special attention to the leading coefficient. This is the key to finding out how the graph will look like. The viewer must also pay attention to the multiplicities. The multiplicities will say if it goes through, bounce, or curves.

WPP#4 Unit E Concept 3: Maximizing Area

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WPP#3 Unit E Concept 2: Path of Football

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SP #1: Unit E Concept 1: Identifying x-intercepts, y-intercepts, vertex (max/min), axis of quadratics and graphing them.

This problem is about sketching graphs of quadratics using shifts of the parent function accurately with the graphing calculator. The equation begins in standard form, which is f(x)= ax^2+bx+c. To make it simpler, we must complete the square to make it : f(x)=a(x-h)^2+k. The graph will have as much as 4 points which are: the 2 x-intercepts, the y-intercept, and the vertex.The axis will be a dotted line.

The viewer must pay close attention to see if the graph if positive or negative because that will determine if it is a minimum or a maximum. In this example, it is positive, and this makes it a minimum. The h and k values are what make the vertex of your graph. If the h is negative, then the x on the vertex will be positive (and vice-versa). The k stays what it is. Also, the axis is not just a number; it is x=__.

WPP#2 Unit A Concept 7: Profit, Revenue, Cost

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WPP#1 Unit A: Concept 6: Writing and Solving Linear Models

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