SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

Please watch my video by clicking here 1) In this problem we are given a quadratic that is not factor able and we must find the factors and well as zeroes. To do this first we begin by using Descartes rule of signs. In this method we are able to figure out how many zeroes are real positive and real negative as well as an estimate if there are any imaginary zeroes. After that we then use the rational root theorem Then we just use synthetic division until we are reduced down to a quadratic.We just factor and find the rest of the zeroes

2) The thing we must not forget is that the odd degrees switch signs in Descartes rule of  sings . Also for the p's and q's it is tempting to also include the q's over p's but those will not work. Also remember that if you are not finding a zero hero in the beginning instead of plugging in all the number you may plug it into a calculator and find some zero heroes. Also until it is reduced down to a factor you still have to conduct synthetic division.

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

1) This problem is about graphing polynomials and including the x-intercepts,y-intercept, the zeroes(with their multiplicities) and the end behavior.To start the problem you must first factor the equation out. Then with the answers you get you will be able to sketch the graph.

2) When doing this type of problem you must first remember to factor it all out. Once you get the remaining value you must solve to zero and then you have your zeroes. You must remember that if it has  multiplicity of 1 then it goes through and if it has one of two then it bounces off.The y intercept is gotten by setting all the x's equal to zero(in this case your answer is zero). The end behavior in this case is even positive therefore the graph will face negative when going to the right and left.

WPP#4: Unit E Concept 3 - Maximizing Area

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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

1)this is a quadratic in standard form. The standard form is  f(x)=ax^2=bx=c. In order to graph them more sufficiently we must complete the square so that they can be in the parent function form. The graph will include 2 and 4 points:the vertex, the y-intercept, and up to two x-intercepts, as well as one dotted line which s the axis of symmetry

2).Once you have completed the square, to identify the points and intercepts you need to understand how to find them. to find the vertex you must use the equation (h,k) It could be  a maximum or a minimum. The x-intercepts are the solutions. You set the equation equal to zero and then you solve. To find the y intercept you use the standard form of the problem and plug in 0 for x and then solve  Finally the axis of symmetry divides the parabola so you set it up like x=h.

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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