SV#1: Unit F Concept 10: Finding all zeroes to a polynomial

This problem is about finding all zeroes to a given polynomial with a 4th or 5th degree. We use the Rational Roots Theorem and the Descartes Rule of Signs to help us figure out the steps toward finding our zeroes. We then use synthetic division to find zero heroes and simplify our polynomial. Once we have simplified to a quadratic we complete the square, use the quadratic formula or factor to find all the zeroes.

The viewer needs to pay special attention to when it is appropriate to use a new home row. They also need to make sure that they factor correctly at the end to find the remaining zeroes. Also pay attention to the possible p/q's and make sure it makes sense what values to use based on what the Descartes Rule of Signs says.

SP #2: Unit E Concept 7: Graphing Polynomials and Identifying All Parts

The problem above shows the work I did to find points making it possible for me to graph the polynomial. You have to graph your equation completely. Once you have factored it out, you find the zeroes of the polynomial and that will give you the x-intercepts. To solve for the y-intercept, you plug 0 into the original equation.

The problem is about finding an equation that will allow you to graph the polynomial. We use the equation factored out to find the zeroes of the polynomial. The problem also includes finding the end behavior of the graph by looking at the leading coefficient and the exponent on the first term. That will determine what direction the ends of the graph will be.

The viewer needs to pay attention to their accuracy of the graph by plotting the y-intercept and the x-intercepts. They also need to make sure that they do the graph correctly using the multiplicity of the zeroes to determine how the graph will act around the x-axis. It will either be T-through for multiplicity of 1, B-bounce for multiplicity of 2, or C-curve for multiplicity of 3.

WPP #4: Unit E Concept 3: Quadratic Applications (Max Area)

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WPP #3: Unit E Concept 2: Quadratic Applications

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SP#1: Unit E Concept 1: Identifying all parts of quadratics and graphing them

The work I showed helped solve to find the parent graph and the x-intercepts. The work for the x-intercepts is under the headline "solve". Next to the equation f(x) there is an arrow pointing where I plugged in 0 for x, that was the equation I used to solve for the y-intercept. The axis of the equation should just be h.

The problem is about solving the quadratic and then using that information to graph it. We use the quadratic to solve for all the parts like the parent function, vertex, x and y intercepts, and the axis. This information will make it easier for us to graph the quadratic.

The viewer needs to pay attention to the signs of the quadratic and to make sure to double check calculations. Its easier to find the parent graph first as it will be easier to use that information. Most of the information can be found from the parent graph like the vertex and axis. Then solve the quadratic and make sure to look for the squared roots and make sure you solve for the +- for each solution.

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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