Saturday, December 6, 2008

1) 2x(2)+ 10x -24 *=answer
factors of 2x(2), (2x,x),
factors of -24, (-6,4), (6,-4), (-8,3), (8,-3), (12,-2), (-12,2)
(2x-6)(x+4)=-2x
(2x-4)(x+6)=8x
(2x-8)(x+3)=-2x
(2x-3)(x+8)=13x
(2x-12)(x+2)=-8x
*(2x-2)(x+12)=10x
2) 4x(2) + 20x + 25
factors of 4x(2), (2x,2x), (1x,4x), (1x,4x)
factors of 25, (5,5)
*(2x+5)(2x+5)=20x
(4x+5)(x+5)=40x
3) x(2) - x – 12
factors of x(2), (x,x)
factors of -12, (-6x,2x), (6x,-2x), (-3x,4x), (3x,-4x), (-12x,1x), (12x,-1x)
(x-6)(x+2)=-4x
(x-2)(x+6)=4x
*(x-3)(x+4)=x
(x-4)(x+3)=-x
(x-12)(x+1)=-11x
(x-1)(x+12)=11x
4) 9x(2) - 81
factors of 9x(2), (3x,3x), (9x,1x)
factors of 81, (9,9)
*(3x-9)(3x+9)=9x(2)-81
(9x-9)(1x+9)=9x(2)-90x-81
(1x-9)(9x+9)=9x(2)-72x-81