8x3 + 4x2 + 6x + 3 = 4x2(2x + 1) + 3(2x + 1) = (2x + 1)(4x2 + 3)
4x3+10x2-6x 2x(2x2+5x-3) 2x(2x-1)(x+3)
2x^2y^3(4x^2 - 3xy + 1)
x3+3x2+6x+1 divided by x+1 Quotient: x2+2x+4 Remaider: -3
(2x-4)(x-1) = 0
8x3 + 4x2 + 6x + 3 = 4x2(2x + 1) + 3(2x + 1) = (2x + 1)(4x2 + 3)
4x3+10x2-6x 2x(2x2+5x-3) 2x(2x-1)(x+3)
2(x^2 + 2)(x + 3)
2x^2y^3(4x^2 - 3xy + 1)
This is how I did it:8x3+4x2+6x+3[8x3+4x2]+[6x+3][(4x2)(2x+1)]+[(3)(2x+1)]....as you can see, this is in the general form of ab+cb, which factored is b(a+c), so:(2x+1)(4x2+3)
x3+3x2+6x+1 divided by x+1 Quotient: x2+2x+4 Remaider: -3
x(x2+5x+6)
Oh, dude, when you add 6x squared and 2x squared, you get 8x squared. It's like combining 6 apples with 2 apples and ending up with 8 apples. So, in math terms, 6x squared plus 2x squared equals 8x squared. Easy peasy!
The GCF is 2x.
6x2 + 10x = 2x*(3x + 5)
(2x-4)(x-1) = 0
8x2 + 6x - 9 = 8x2 + 12x - 6x - 9 = 4x(2x + 3) - 3(2x + 3) = (2x + 3)(4x - 3)