Factoring+Worksheet+due+9-27

1. Factor x^2-16 = (x+4) (x-4) Done by Jose Castellanos

I solved the equation the same way, and got the same answers! Checked by: Abby Demiano

2. x^3-8 (x-2) (x^2+2x+4) Done by Peter Radecki

3. 4x^2-81 = (2x+9) (2x-9) Done by Daniel Pugliano Got the same thing. Checked by: Fred Jordan

4. Factor: 7x^3-28x = 7x (x^2-4) = 7x (x+2) (x-2) Done by: Blake Schreiber I got the same thing! checked by:Valeria Chelala

5. Factor: 2x^3+54 =2(x^3+27) =2(x+3)(x^2-3x+9) Done by: Andrew Kim Checked:Parker Tennet. I got the exact same!

6. x^4-16 =(x^2-4)(x^2+4) =(x-4)(x+4)(x^2+4) Done by Kristen Hanslik

I got: x^4-16 (x^2+4)(x^2-4) (x+2)(x+2)(x+2)(x-2) Checked by Jonathan Eichelberger

**you can not factor (x^2 + 4), only (x^2 - 4)** **(x - 2) (x + 2) (x^2 + 4)**

7.Factor:32x^3+4y^3 = 4(8x^3+y^3) = 4(2x+y)(4x^2-2xy+y^2) Done by: Michael Herzberg

I got the same thing! checked by Rebekah Adair

8. Factor: X^9 + 1 =X^9+1 not really sure what to put since you cant really factor it out as far as i can see since there are no common factors or anything, only other thing i can think of is (x*x*x*x*x*x*x*x) +1 Done by: Alex Dubois Checked: you can turn it into (x^3+1)(x^3+1)(x^3+1), then from there factor even more into (x+1)(x^2-x+1)(x+1)(x^2-x+1)(x+1)(x^2-x+1) Checked by Matthew Milan

** CORRECTION: ** **x^9 is the same as (x^3)^3, therefore** **(x^3 + 1) (x^6 - x^3 + 1)** **(x + 1) (x^2 - x + 1) (x^6 - x^3 + 1)**

9. Factor: 1000x^3-10x =10x(100x^2-1) =10x(10x-1)(10x+1) Done by: Kamryn Richard

10. Factor 5x^3-625 = 5*(x^3-125) = 5*(x-5)(x^2+5x+25) Done by Jan Dudek 10. I did the same thing and got the same answers. Checked by Quinn Taylor.

11. I was supposed to check, but I guess whoever was doing this one forgot. Factor: 6x^2-25x+4 =(6x-1)(x- 4) Checked by Ellen Barth

12. Factor: 2X^2+13X-7 =(2X-1)(X+7) X= +1/2 or -7 Done by Emily Johnson

12. Lookin' good! I got the same answers! Checked by: Courtney Venable