Monday, September 30, 2013
SV #1; Unit F Concept 10; Given polynomial of 4'th or 5'th degree, find all zeros
f(x)= same signs brought down.
f(-x)= EVEN degrees stay the SAME, and ODD degrees CHANGE.
This problem is about finding the zeros of a quartic polynomial. In order to d=find the zeros to a quartic polynomial, one must combine all the previous concepts from unit F into one problem. One starts with finding how many possible zeros there are from the equation and how many possible(+)zeros and possible(-) zeros there are in the equation. Finding the zeros from then on requires patience in choosing a possible zero to plug into the equation to determine if it ends to equal a ZERO HERO. Once you minimize the equation to a quadratic, we use the quadratic formula because we know that, in this unit, we will be solving for imaginary numbers.
As a viewer, one must pay close attention to the signs used in the equation and how to change them when changing them into a factorization. Another important thing to remember is the quadratic formula, and when to use it. If the quadratic equation is factorable, the quadratic formula is not needed. One must also remember to distribute the imaginary numbers with (x-)and to multiply the (x-) with a common denominator.
Thursday, September 26, 2013
SP #2: Unit E Concept 7; Graphing polynomial, including: x-intercept, y-intercept, zeros, end behanior. All polynomials will be factorable
In these problems we are to graph polynomials, including x-intercepts, y-intercepts, zeros (with multiples), and end behaviors. First, you must try to factor out the GCF of the equation, if not you continue solving and find your end behaviors. Knowing your end behaviors you now know how your graph will look and where the end points will point to. Next, you solve to find your x-intercepts and their multiples. Then you plug in a zero into the original equation to find your y-intercept. At this point, we need to find our extrema's: max, and min. An their intervals of increase and decrease. Finally, you plug in your x-intercepts into the graph and use the rules of multiplicities to draw the directions of the graph.
In these problems you have to keep in mind the rules of end equations as well as the x-intercepts and their multiplicities. Also a very important thing to keep in mind is the rule if multiplicities. Those rules determine whether you go through the x point, bounce from it, or curve as you go through it.
Tuesday, September 24, 2013
SP #1: Unit E Concept 1; Identifying x-int., y-inter., vertex, axis of quadratics and graphing them.
This Problem is about identifying the x-intercepts, as well as the y-intercept, vertex (max/min), axis of quadratic and to also graph them. This problem is about finding the parent function which leads you to finding the vertex, as well as the y-intercept, and axis point. the x-intercepts are found with the parent graph. Once you interpreted your parent graph, you then solve to find your x-intercepts. From this point you are able to draw your graph.
Monday, September 16, 2013
WPP #4, Unit E Concept 3; Finding maximum and minimum values of quadratic applications using calculator
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Monday, September 9, 2013
WPP #3' Unit E Concept 2; Finding max. and min. values of quadratic applications using claculator
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Thursday, September 5, 2013
WPP #2:Unit A Concept 7; Writing ans solving cost, revenue, and profit word problems
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WPP #1; Unit A Concept 6; Writing linear models and evaluating for word problems
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