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Prime Factorization

Factor the following numbers:

32 =
54 =
90 =
120 =
396 =
512 =


Throughout this document anytime you see ^ it means that the term is raised to the power following this symbol. 


Factoring Completely

Factor the following:

1.  2x^2+20x+48

2.  3y^2+21y+36

3.  3x^2-75

4.  4m^2-144

5.  6gh^4+18gh^2-168g

6.  2xy^2-32x

7.  3a^3b^4-192a^3

8.  2x^2+24x+70

9.  8y^2-160y+800

10.  Find the dimensions of a rectangular prism with volume 3x^2 - 243.

11.  Find the dimensions of a box if its volume is ab^2+13ab+40a.

12.  The volume of a pyramid is found using the formula V=(1/3)Bh, where B=area of the base and h=height.  If h=3, write the dimensions of the           base for a pyramid having a volume of (16/3)xy+36x+(20/3)xy-2y-6.

13.  ac^2+5ac+6a-bc^2-5bc-6b

14.  8x^2y^5-128x^2y+16x^2y^4-256x^2

15.  ab^2+8ab+12a+3b^2+24b+36



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