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
2(4x)=16 8x=16 x=2 24x=16 x=16/24 x=2/3
-4x=2y-16 +16 +16 (-4x+16)=(2y) /2 /2 y=-2x+8
(2xy-4x)+ (8y-16)=2xy-4x+8y-16, which factors as 2(x+4)(y-2)
If your function is 4x^2+16x+16=0 then x=-2, if it is 4x^2-16x+16=0, then x=2
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)
( 2xy - 4x ) + ( 8y - 16)2 ( xy - 2x ) + 2 ( 4y - 8 ) Answer
Solve for Y algebraically. 4X + 8Y = 16 8Y = - 4X + 16 Y = - 1/2X + 2 graph and see that the Y intercept = 2
2xy - 4x + 8y - 16 can be factored.(2xy - 4x) + (8y - 16)2x(y - 2) + 8(y - 2)Since y-2 is the same as the other, it would turn out like this:(2x + 8)(y - 2):]
If 4x-2 equals 2x-34 then x is equal to -16. 4x is equal to 2x-322x is equal to -32x is therefore -16
2(4x)=16 8x=16 x=2 24x=16 x=16/24 x=2/3
8x + 9.16 = 4x + 16 8x - 4x = 16 - 9.16 4x = 6.84 x= 1.71
16x^2 - 25 Recognise that both 16 and 25 are squared numbers, 16 = 4^(2) & 25 = 5^(2) Substituting 4^(2)x^(2) - 5^(2) = > (4x)^(2) - 5^(2) We now have two squared terms with a negative between them. NB two squared terms with positive does NOT factor. Factoring (4x - 5)(4x + 5)