Thursday, September 26, 2013

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

ThisThis problem is about finding the real and complex zeroes of a degree polynomial, covering concept 10. The problem explains the steps required. These steps include finding all possible real zeroes, Descarte's rule of Signs, and adding/subtracting complex numbers.

Make sure to pay special attention to how all these steps are done. However, we have already learned all these concepts so this should be review. You may also want to pay attention to how to completely factor the ending quadratic because it gives us complex zeroes rather than real.

Thanks for watching! and sorry for the horrible quality... I'll try to fix it later on...  

Monday, September 16, 2013

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

This problem is about Graphing Simple Quadratics. According to Mrs. Kirch's instructions, I went backwards from the zeroes/x-intercepts I came up with which, in turn, were used to get my factors and my polynomial after multiplying my factors together. My equation can tell me the end behavior of the graph and also my y-intercept by solving for 'y' when 'x=0.' Finally, referencing to what the multiplicities meant on a graph, I drew my graph. 

Be sure to understand what the number of multiplicities mean. (M1: Through, M2: Bounce, M3: Curve). Take notice that my graph follows my x-intercepts and my y-intercept. To check your answer, you can enter the polynomial into a graphing calculator. 

Sunday, September 8, 2013

SP#1: Unit 4 Concept 1: Graphing a quadratic and identifying all key parts

This problem is about Quadratics in standard form. I shifted the quadratic from standard form to a parent function making my sketch of the graph more accurate and detailed.With the parent function, I completed the square in order to find my graphing equation which allowed me to find the vertex, y-intercept, and axis of symmetry. Then I solved that equation to get my x-intercepts.

You have to pay attention to how I completed the square, used f(x)=a(x-h)^2+k to determine vertex, y-intercept, axis, & x-intercept(s), and ultimately drew my graph.(h,k) determines what my vertex is. Solving the standard form when x=0 gives me my y-intercept. My axis of symmetry is the x-value of my vertex.