Polynomial Project #2 ALG II CC: Greene Due: Friday 11/3/17 Tasks I. Choose two
ID: 3026734 • Letter: P
Question
Polynomial Project #2 ALG II CC: Greene Due: Friday 11/3/17 Tasks I. Choose two of three topics a. Factoring completely b. Finding the zeros of a polynomial c. Using synthetic division to find zeros, determine factors and/or evaluate functions. II. Create three examples( Level 1, Level 2, Level 3) involving the two topics of your choice to show case your knowledge IlI. Solve the created examples by showing step by step directions and using SRE to support your findings. IV. Use at least 3 different colors to when solving so your work standouts. You may also draw characters to present your work--> Rubric: Use the rubric below to help you organize and complete the project. The rubric can be used as an outline of what the project is assessing. Tasks Advanced Understand Meets the Standard Approaching Does Not Meet Students selected and Students selected two Students selected Students selected clearly stated two of of three topics but it and clearly stated one topic but it was not stated Students selected and questions that are on three topic. one topic. was not stated Students selected and created examples that are on the same level. Students selected and created examples that are not in the topic. 2 Students selected and created level 1-3created examples two examples. the same level. Students solved all 3Students solved all 2 Students solved all Students solved all 3 examples correctly sparingly using SRE 3 examples with solutions only. of 3 examples examples correctly using SRE correctly using SRE. Students used allStudents used Students used Students used all materials on given list and project is neat. materials on given list some materials on some materials on and project is NOT neat given list and project is neat. given list and project is NOT neat.Explanation / Answer
a) chossing 1st topic factroing completely
level one example
factor 2x + 4
taking out the gcf we get
2 ( x+2 )
level 2
x^2 - 2x - 35
to factor this we need to find 2 such factors of 35 that will add up to become - 2
so factors are ( x - 7) ( x+ 5 )
level 3
factor 8x^4 - 4x^3 + 10x^2
taking the gcf out
2x^2 ( 4x^2 - 2x + 5 )
choosing the 2nd topic finding zeros of a polynomial
level 1
zeros of f(x) = 2x - 6
set f(x) to 0 and solve for x
2x - 6 = 0
2x = 6
x = 3
zeros are x = 3
level 2
f(x) = x^2+ 2x - 15
x^2 + 2x - 15 = 0
( x + 5 ) ( x- 3 ) = 0
x + 5 = 0 , x - 3 = 0
x = -5 , x = 3
zeros are x = -5 , x = 3
level 3
f(x) = 5x^5 - 20x^4 + 5x^3 + 50x^2 - 20x - 40
f(x) = 0
5x^5 - 20x^4 + 5x^3 + 50x^2 - 20x - 40 = 0
5 ( x+ 1)^2 ( x - 2)^3 = 0
x + 1 = 0
x = -1
x - 2 = 0
x = 2
zeros are x = -1 , x = 2