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16x2-8x+1 16: -4*-4=16 -4+-4=-816x2-4x-4x+1|..........|..|.....||..........|..|......1|..........|...2*2x|.........2*2x2*2*2*2xx4x(4x-1)+1(4x-1)Answer: (4x-1)(4x+1)
(x+2)6 (x2 + 4x + 4)(x+2)4 (x2 + 4x + 4)(x2 + 4x + 4)(x+2)2 (x2 + 4x + 4)(x2 + 4x + 4)(x2 + 4x + 4) (x4 + 4x3 + 4x2 + 4x3 + 16x2 + 16x + 4x2 + 16x + 16)(x2 + 4x + 4) (x4 + 8x3 + 24x2 + 32x + 16)(x2 + 4x + 4) (x6 + 4x5 + 4x4 + 8x5 + 32x4 + 32x3 + 24x4 + 96x3 + 96x2 + 32x3 + 128x2 +128x + 16x2 + 64x + 64) (x6 + 12x5 + 60x4 + 160x3 + 240x2 + 192x +64) the coefficeints are 1, 12, 60, 160, 240, and 192
y = 4x - 16At the x-intercept, y=0.0 = 4x - 16Add 16 to each side:16 = 4xDivide each side by 4:x = 4
(x + 8)(x - 8)
4x2 + 8x + 4 = 4 (x2 + 2x + 1) = 4 (x + 1)2