Monday, September 30, 2013
SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial
This problem is about finding the zeroes of a polynomial equation. You find the p's and the q's in order to find the possible zeroes values. You also use the Descartes Rules of Signs to find how many positive and negative real zeroes there are. Then you use synthetic division to factor the polynomial into a quadratic which you would plug in to the quadratic equation and find the zeroes.
One of the things to pay close attention to is the signs used in order to solve the problem, In other words, you need to make sure to distribute the negative accurately. You need to make sure to write the imaginary zeroes involving the "x" in the problem.
Monday, September 16, 2013
SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts
This problem is about graphing a polynomial. In order to graph the polynomial, you must first factor out the equation. Once, you have the factors you must find the zeroes which are also called the x-intercepts. Then using the leading coefficient it tells you if it is positive or negative and the exponent tells you if it is odd or even which signify the end behaviors of the graph. The y-intercept is found by plugging in zero in all the "x" places.
You need to pay careful attention to the x-intercepts with the multiplicities in order to graph the equation correctly. If the multiplicity is one, then the graph goes through the x-axis. However if the multiplicity is two, then the graph bounces off the x-axis.
Thursday, September 12, 2013
WPP#4: Unit E Concept 3 - Maximizing Area
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Tuesday, September 10, 2013
WPP#3: Unit E Concept 2 - Path of Football (or other object)
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SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts
This problem is about how to graph a quadratic equation and finding the parent function equation. The parent function equation can be found by completing the square and equaling it to y. The vertex is the (h,k) of the parent function f(x)= a(x-h)²+k which is (2,4) in this equation and determine whether it is a maximum or minimum. The y-intercept is found by plugging in zero to all the x-values in the original equation and solving. The axis of symmetry is x=h, which divides the parabola in half. The x-intercepts are found by solving for the parent function.
You need to pay special attention to the signs of operation whether it is addition or subtraction in the problem. Also, be aware of the order of operation in order to get to the answer. You also need to pay attention that there are three possible points on the graph because there is no imaginary x-intercepts.
Tuesday, September 3, 2013
WPP#2: Unit A Concept 7 - Profit, Revenue, Cost
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WPP #1: Unit A Concept 6: Linear Models
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