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) This is already factored completely 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. x2+x+12+x+32=38 x2+x2+2x+1+x2+6x+9=38 after FOIL x=2 The small side area is 22=4 square kilometers The middle side area is x+1;2+1=3; 32=9 square kilometers The lagrge side area isx+3; 2+1=5; 52=25 square kilometers To check: 4+9+25=38 12,0001+r2=27000 12,000(r2)=27000 12,000r2=27000 r=12 or.5 (50%)