1. Simplify: 1+- 1 1+- 1 1+ 1 1+ 1+!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.6: Factoring Quadratic Trinomials
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The first two problems I need help with
Name:
Messy Algebra Project
For each problem, show your work on a separate sheet of paper... that is, only one
problem should appear on each sheet of paper.
1
1. Simplify: 1+
1+
1
1
1+
1
1+
1+
2. Prove the following statement is true! Hint: pick one of two ways... a) reduce the left
side before multiplying out [you will need to look up a factoring formula for 1–- x" ]. b)
Use the fact that 12÷4=3 IF 3-4=12... so, this way is a lot more multiplying.
(1- p')(1- p°)(1– p')
(1-P')(I-p°)(1-p')
+ p2
= 1+p+2p° +3p° +4p* +4p° +5p° + 4p' +4p* +3p +2p° + p"
3. Consider the TWO solutions to ax +bx+c=0_given by the quadratic formula:
a. Find and simplify the sum of the two solutions.
b. Find and simplify the product of the two solutions.
4. Consider P =-}x² + 220x-9500
a. Find its vertex.
b. Find its y-intercept.
c. Approximate its x-intercepts.
d. Accurately graph the function [include the items found in a, b, and c]!
Graph hint: Scale is important. for instance I used x from 0 to 1000.
What to turn in?
** A good presentation of your solution [bring to class OR upload as a single PDF file in
Canvas / Assignments].
** Due date: Tuesday, December 1 @ 12:30pm
Grading Rubric
Possible Points
Points Earned
Description
Neat and organized
Logical presentation of
work & supporting algebra
7
15
Answers
28
Total
50
Transcribed Image Text:Name: Messy Algebra Project For each problem, show your work on a separate sheet of paper... that is, only one problem should appear on each sheet of paper. 1 1. Simplify: 1+ 1+ 1 1 1+ 1 1+ 1+ 2. Prove the following statement is true! Hint: pick one of two ways... a) reduce the left side before multiplying out [you will need to look up a factoring formula for 1–- x" ]. b) Use the fact that 12÷4=3 IF 3-4=12... so, this way is a lot more multiplying. (1- p')(1- p°)(1– p') (1-P')(I-p°)(1-p') + p2 = 1+p+2p° +3p° +4p* +4p° +5p° + 4p' +4p* +3p +2p° + p" 3. Consider the TWO solutions to ax +bx+c=0_given by the quadratic formula: a. Find and simplify the sum of the two solutions. b. Find and simplify the product of the two solutions. 4. Consider P =-}x² + 220x-9500 a. Find its vertex. b. Find its y-intercept. c. Approximate its x-intercepts. d. Accurately graph the function [include the items found in a, b, and c]! Graph hint: Scale is important. for instance I used x from 0 to 1000. What to turn in? ** A good presentation of your solution [bring to class OR upload as a single PDF file in Canvas / Assignments]. ** Due date: Tuesday, December 1 @ 12:30pm Grading Rubric Possible Points Points Earned Description Neat and organized Logical presentation of work & supporting algebra 7 15 Answers 28 Total 50
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