# Math 209 Week 2 Individual Assignment

Week 2 Individual Assignment
Date: 2/27/2011
*
* Section 5.1: Exercises 40, 68, and 72

2*2*2*2*x*x*z
2*2*2*5*x*z*z
2*2*2*3*3*z*z*z
GCF= 2*2*2*z= 23z or 8z

15x2y2=3*5*x*x*y*y
-9xy2=3*-3*x*y*y
6x2y=2*3*x*x*y
GCF=3xy
3xy(5xy-3y+2x)

(a+1)(a-3)

Section 5.2: Exercises 16, 62, and 80

(3a+8b)(3a-8b)

x*x*x*y
2*x*x*y*y
x*y*y*y
gcf=xy
xyx2+2xy+y2=a+b2

x*x*x
a*x
3*a
3*x*x
xx2+a+3(a+x2)
x2+a(x+3)

Section 5.3: Exercises 58, 64, and 102

z2+18z+45
z*z
2*3*3*z
3*3*5
(z+3)(z+15)

(1,9)(- 1, - 9)(3,3)(- 3, - 3)
No solution

3*x*x*x*y*y
-(3)*x*x*y*y
3*x*y*y
3xy2(x2-x)
Section 5.4: Exercises 18, 26, 38, and 88

2x2+11x+5
a=2;b=11;c=5
a∙c=10
(1,10)(2,5)(5,2)(-1,-10)(-2,-5)
2x2+1x+10x+5
x(2x+1)+5(2x+1)
(2x+1)(x+5)

21x2+2x-3
a=21;b=2;c=-3
a∙c=-63
1,-633,-217,-9-1,63-3,21-7,9
21x2-7x+9x-3
-7x-3x+1-3-3x+1
(-3x+1)(-7x-3)

8x2-10x-3
a=8;b=-10;c=-3
a∙c=-24
1,-242,-123,-84,-6(-1,24)(-2,12)(-3,8)(-4,6)
8x2+2x-12x-3
2x4x+1-34x+1
(4x+1)(2x-3)

Put in standard format first.
GCF= b
b(a2+2a-15)
Use A*C method
a=1;b=2;c=-15
a∙c=-15
1,-153,-5(-1,15)(-3,5)
a2-3a+5a-15
aa-3+5a-3
a-3a+5

Section 5.5: Exercises 36, 44, 66, 72, and 82

Factoring a difference of two fourth powers

m2-n2m2+n2
m-nm+nm2+n2

3x(x2-4)
3x(x-2)(x+2)

GCF=2
24b2+12b+9
22b+32

a=3   b=-18     c=-48       a*c=-144
(1,-144)(2,-72)(3,-48)(4,-36)(6,-24)(8,-18)(9,-16)(12,-12)
3(x2-6-16)
a=1   b=-6     c=-16     a*c=-16
(1,-16)(2,-8)(4,-4)(-1,16)(-2,8)
3(x-2)(x-3)

Section 5.6: Exercises 18, 32, 54, 58, 66, 98, 100, and 104

h=-1 or h=32

w=-12 or w=14

x=-6 or x=6

x=0 or x=-2 or x=2

x=-1 or x=2

Let a = the trains leg from the crossing and b = the car from the crossing   and c = the difference in distance. This is a right triangle.
a2-b2=c2
502-302=c2
2500-900=c2
1600=c
c=40

Let x = the small field; then x+1= the middle field and x+3 = the large field....