![Here’s what you’ll find in this Slideshow :
1. Meaningful quote
2. Modulus question
3. Answer/solution to [2]
4. Polynomial question
5. Answer/solution to [4]
6. Hidden fun facts
We apologize in advance for what to come
“This ppt is not suitable for kids of the age x<10, you have been warned”
We really look up to Mr. Albert Einstein
Enjoy~
Don’t take this seriously
Some are plagiarized but we don't care
Pls give us extra mark
CONTENTSOFTHIS
TEMPLATE](https://image.slidesharecdn.com/algebrapresentationontopicmodulusfunctionandpolynomials-201124142218/85/Algebra-presentation-on-topic-modulus-function-and-polynomials-3-320.jpg)
![WorkingProcess
p(x) =
Replace x=-2 > p’(-2)
p(x)= 2x3+ax2+bx-4
p’(x)= d/dx [p(x)]
= 6x2+2ax+b
p’(-2) = 6(-2)2+2a(-2)+b
p’(-2)= -4a+b+24 [2]
x+2 is a factor
Replace x= -2 > p(-2)
p(-2)= 2(-2)^3 + ax^2 + bx - 4
p(-2)= 4a-2b-20= 0 [1]
[2] 24-4a+b= 0
[1] -20+4a-2b= 0 -
4-b = 0
b= 4
[2] 24-4a+4= 0
= -4a= -28
a= 7
(i) a= 7 and b= 4
(ii) replace a & b
p(x)= 2x3+7x2+4x-4
2x3+7x2+4x-4/x+2
Final answer: 2x2+3x-2](https://image.slidesharecdn.com/algebrapresentationontopicmodulusfunctionandpolynomials-201124142218/85/Algebra-presentation-on-topic-modulus-function-and-polynomials-11-320.jpg)
![Thomas Alfa Edison
(1879-1955)
Ourworthyrival[RIP]](https://image.slidesharecdn.com/algebrapresentationontopicmodulusfunctionandpolynomials-201124142218/85/Algebra-presentation-on-topic-modulus-function-and-polynomials-12-320.jpg)
Algebra presentation on topic modulus function and polynomials
- 1. Algebra modulus and polynomials Adrian, Fadhil HS12B
- 2. Adrian (modulus) Mastermind of this project. Controls 69% of the ‘decoration’ section. Has less IQ than Fadhil Fadhil (polynomials) Favorite henchman, right hand of Adrian’s. Focuses more on what’s more important. Fadhil (2020), declared that “I’ve finished my part, Adrian is responsible for the rest”. Introduction
- 3. Here’s what you’ll find in this Slideshow : 1. Meaningful quote 2. Modulus question 3. Answer/solution to [2] 4. Polynomial question 5. Answer/solution to [4] 6. Hidden fun facts We apologize in advance for what to come “This ppt is not suitable for kids of the age x<10, you have been warned” We really look up to Mr. Albert Einstein Enjoy~ Don’t take this seriously Some are plagiarized but we don't care Pls give us extra mark CONTENTSOFTHIS TEMPLATE
- 4. -Albert Einstein “Imagination is more important than knowledge”
- 5. Modulus 01
- 6. Question01 (i) It is given that x satisfies the equation: |3x+5|=|x-7| (ii) Find the possible value of |x+4|-|x- 1|
- 7. Workingprogress (b) a(-) and b(-) -(3x+5) = -(x-7) -3x-5 = -x+7 -3x + x = 7+5 -2x = 12 x= -6 ( c ) a(+) and b(-) 3+5 =-(x-7) 3x+5=-x+7 3x+x=7-5 4x=2 x=2/4 x=½ (d) for a(-) and b(+) -(3x+5)= x-7 -3x-5=x-7 -3x-x=-7+5 -4x=-2 x=-2/-4 x=½ Solution= {-6,½} Method 1 (i) Let a=|3x+5| b=|x-7| (a) a(+) and b(+) 3x+5 = x-7 3x-x = -7-5 2x= -12 x=-6
- 8. Method 2 (square both sides) (|3x+5|)^2 = (|x-7|)^2 9x^2+30x+25=x^2-14x+49 9x^2-x^2+30x+14x +25-49=0 8x^2+44x-24= 0 (divided by 4) 2x^2+11x-6=0 (2x-1)(x+6)= 0 2x-1=0 or x+6= 0 2x= 1 or x= -6 x= ½ 0r x= -6 solution= {-6, 1/2 }
- 9. Part2 (ii) For x=-6 |(-6)+4|-|(-6)-1| = |-2|-|-7|= 2-7 =-5 For x= ½ |(½)+4|-|(½)-1|= |½+8/2|-|½-2/2|= |9/2|-|-½| = 9/2 - ½ = 8/2 = 4
- 10. Polynomials 02
- 11. WorkingProcess p(x) = Replace x=-2 > p’(-2) p(x)= 2x3+ax2+bx-4 p’(x)= d/dx [p(x)] = 6x2+2ax+b p’(-2) = 6(-2)2+2a(-2)+b p’(-2)= -4a+b+24 [2] x+2 is a factor Replace x= -2 > p(-2) p(-2)= 2(-2)^3 + ax^2 + bx - 4 p(-2)= 4a-2b-20= 0 [1] [2] 24-4a+b= 0 [1] -20+4a-2b= 0 - 4-b = 0 b= 4 [2] 24-4a+4= 0 = -4a= -28 a= 7 (i) a= 7 and b= 4 (ii) replace a & b p(x)= 2x3+7x2+4x-4 2x3+7x2+4x-4/x+2 Final answer: 2x2+3x-2
- 13. Following slides may not be connected to ‘math’ however we’ll make it anyway cause we’re bored. U need x>160 IQ to understand why we’re doing this. From now n here on, everything is Adrian’s territory
- 14. PieChart Math A subject, the chart says everything. Numbers Something related to math. We hate it
- 15. Adrian Albert Einstein Fadhil Einstein 166 160 169 Adrian Fadhil IQcomparison
- 17. U may skip the next slide. U have been warned. For real.Dont h8 us
- 18. Provewelovemath
- 19. - https://www.biography.com/news/albert- einstein- iq#:~:text=The%20maximum%20IQ%20sc ore%20assigned,that%20estimate%20is% 20based%20upon - https://www.google.com/search?q=graph +of+people+who+hate+math&safe=strict &sxsrf=ALeKk02wftBveSIDj0etm- 9jqqRYeGqrPw:1605684342839&source=ln ms&tbm=isch&sa=X&ved=2ahUKEwjZ5oC nyIvtAhWCheYKHUAXDSQQ_AUoAXoECB MQAw&biw=1536&bih=722#imgrc=JPCoQ zj22-xuqM - https://www.exam- mate.com/topicalpastpapers/?cat=5&subj ect=53&years=&seasons=&paper=3&zone =&chapter=346&order=asc RESOURCES
- 20. CREDITS: This presentation template was created by Slidesgo, including icons by Flaticon, and infographics & images by Freepik THANKS!Your welcome No questions right? OK https://www.i nstagram.co m/alberteinst ein/?hl=id https://www.f acebook.co m/AlbertEins tein/