Active Algebra Help Updated 9-30-14

Agatha Christie

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Here I will post Algebra questions I may need help with. If you can help me I will add one point to your total. after it reaches 20, I will reward you 20PC. You can add your own math questions here to.
This is High School questions only.
Current Questions 10-8-14
Rules-FACTOR COMPLETELY I did these wrong could you show me what I did wrong.

  1. x^3-27= (-3x)(x^2-3x-9)
  2. 8x^3+27= (-6x)(13+6x)
  3. 2x^3+128= 2(x^3+114)
  4. 8x^4-128= 8(x-2)(x-2)
  5. 18x^4-6x3+10x^2= 2x^2(9x^2-6x+5)
  6. 4x^2-25= (20x) (4x)
  7. x^2-8x+64= (x-8)(x-8)
  8. x^4-625=(x-5)^4
  9. x^3+8x+5x^2+40=(x+5)(x+8)(x-8)
  10. 6x^2+13xy+6y^2= (6xy)(6x+13y)(x+y)
Thanks:D
 
Last edited:

notsoclutch

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1) 6(x^2-3x-10)___6(x-5)(x+2)
2) 6(x^2-x-2)____6(x-2)(x+1)
3) y(y^4-16)____y(y^2+4)(y^2-4)_____y(y^2+4)(y+2)(y-2)
4) (x-5)(x-5)
5) Think there may have been a mistype for this one. I can do it, but I doubt it would be in the same homework as your other problems...

Oh I don't mind helping you out, but you are probably going to want to learn this for yourself in the future. Math builds on itself.
 

Agatha Christie

Pokémon Trainer
Credits
8
1) 6(x^2-3x-10)___6(x-5)(x+2)
2) 6(x^2-x-2)____6(x-2)(x+1)
3) y(y^4-16)____y(y^2+4)(y^2-4)_____y(y^2+4)(y+2)(y-2)
4) (x-5)(x-5)
5) Think there may have been a mistype for this one. I can do it, but I doubt it would be in the same homework as your other problems...

Oh I don't mind helping you out, but you are probably going to want to learn this for yourself in the future. Math builds on itself.
The 5th one is written correctly. The assignment was 65-92 the ones listed above are the one I could figure out. I don't want you to think I am bumming you for answers. I have done 82% of the work. I really thank you for your help.
PS: number 5 was a challenge problem that is why it looks different.;)
 

notsoclutch

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The 5th one is written correctly. The assignment was 65-92 the ones listed above are the one I could figure out. I don't want you to think I am bumming you for answers. I have done 82% of the work. I really thank you for your help.
PS: number 5 was a challenge problem that is why it looks different.;)
I see. Well then here goes nothing.

2x^3-98a^2x+28x^2+98x=2(x^3-49a^2x+14x^2+49x)=2(49(x-a^2x)+x^2(x+14))

I believe that should be the answer.
 

notsoclutch

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  1. 8T^3-1___A=2t___B=1___(2t-1)(4t^2+2t+1) difference of cubes
  2. 2X^3-X^2-6X+3___(2x-1)(x^2-2) grouping method
  3. 6+2x-3X^2-1__-3x^2+2x+5__(-3x+2)(x+1) forget what this one is called. :p
  4. 6x^2-54__6(x^2-9)__6(x-3)(x+3) difference of squares
  5. X^3-4X^2__x^2(x-4) GCN is all I think you can do....
 

Agatha Christie

Pokémon Trainer
Credits
8
  1. 8T^3-1___A=2t___B=1___(2t-1)(4t^2+2t+1) difference of cubes
  2. 2X^3-X^2-6X+3___(2x-1)(x^2-2) grouping method
  3. 6+2x-3X^2-1__-3x^2+2x+5__(-3x+2)(x+1) forget what this one is called. :p
  4. 6x^2-54__6(x^2-9)__6(x-3)(x+3) difference of squares
  5. X^3-4X^2__x^2(x-4) GCN is all I think you can do....

2. 2X^3-X^2-6X+3___(2x-1)(x^2-2) grouping method
2. 2x^3-x^2-6x+3=x^2(2x-1)3(-2x+1)__(x^2+3)(-2x+1) This is what I got. What did I do wrong?:confused:
3. 6+2x-3X^2-1__-3x^2+2x+5__(-3x+2)(x+1) forget what this one is called. :p
3. 6+2x-3x^2-1=-3x^2+2x+5=x(-3x+2+5)= what did I do wrong?:confused:
4. 6x^2-54=6(x^2-9)=6(x-3)(x-3) I got this one now.:D
5. x^3-4x^2=x^2(x-4) got this too.:D
 

notsoclutch

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2. 2X^3-X^2-6X+3___(2x-1)(x^2-2) grouping method
2. 2x^3-x^2-6x+3=x^2(2x-1)3(-2x+1)__(x^2+3)(-2x+1) This is what I got. What did I do wrong?:confused:
3. 6+2x-3X^2-1__-3x^2+2x+5__(-3x+2)(x+1) forget what this one is called. :p
3. 6+2x-3x^2-1=-3x^2+2x+5=x(-3x+2+5)= what did I do wrong?:confused:
4. 6x^2-54=6(x^2-9)=6(x-3)(x-3) I got this one now.:D
5. x^3-4x^2=x^2(x-4) got this too.:D
3. 6+2x-3x^2-1=-3x^2+2x+5=x(-3x+2+5)= what did I do wrong?:confused:
You accidentally factored when I don't think you were able to and it skewed your answer maybe. I don't know. I was always a lousy tutor. :p

2. 2x^3-x^2-6x+3=x^2(2x-1)3(-2x+1)__(x^2+3)(-2x+1) This is what I got. What did I do wrong?:confused:
You forgot that they need to matchup in order to use grouping. This simply lead to a few slightly confusing results I assume. My answer is actually a tab bit off anyway it's supposed to be (2x-1)(x^2-3). lol
 

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