SV #1: Unit F Concept 10 - Finding zeroes (real and complex) of a 5th or 4th degree Polynomial

This problem is about finding real, irrational, and imaginary and irrational zeroes by using p divided by q to find possible zeroes and the Descartes Rule of Signs to find the number of positive and negative zeros.

It is important to remember to not include certain fractions in our p/q's because we may have already written the reduced form of it already. It is also good to remember that in Descartes Rule of Signs, that we must account for irrational or imaginary zeroes by pairing the real zeroes. A helpful step is also to take out the greatest common multiple from the quadratic (after finding 2 zeroes) because it makes smaller, nicer numbers for when we plug them into our quadratic formula. Concerning writing factors, remember to multiply x by the number of the denominator of the irrational zero so we have the entirety of it over one number. It is also good to remember to distribute any GCF we took out previously, to a factor that contains a fraction to make the factors look "pretty" and "clean".

SP #2: Unit E Concept 7 - Graphing Polynomial With Multiplicities

This problem is about graphing a polynomial, which included a y-intercept and x-intercepts (or zeroes) with multiplicities, and end behavior. When a polynomial is given, we first have to factor. With the help of multiplicities- the number of times a zero shows on a graph, it will help us determine how to graph the equation demonstrating how they behave at the extremas and in the middle.

While graphing polynomials, you should pay special attention to the zeroes and their multiplicity. Multiplicities determine how the middle of the graph looks like: multiplicities of one go through the graph, two bounce, and three curve. We also need to pay close attention to the end behavior so we know what direction our graph should start and end at.

WPP #4: Unit E Concept 3 - Maximizing Area

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WPP #3: Unit E Concept 3 - 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

This problem is about changing an equation in standard form f(x)=ax^2+bx+c into parent function form f(x)=a(x-h)^2+k so that it is easier to graph. With the parent function, it is easier to find and identify the vertex, y-intercept, axis, and x-intercepts. Though it takes several steps to find these parts of the graph, it will result in a more accurate and detailed sketch of the graph.

Some special things to pay attention to would include the (h, k), included in the parent function, which acts as the vertex of the graph. In certain examples, the x-intercepts do not come out with real numbers. With the imaginary numbers, we are not able to graph the points on the graph.

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

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WPP #1: Unit A Concept 6 - Linear Models

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