8x3 – 12x2 + 6x – 9
3 answers
This is a polynomial expression.
a little synthetic division yields
8x^3 – 12x^2 + 6x – 9 = (2x-3)(4x^2+3)
or as the difference of two cubes,
(2x-1)^3 - 8 = (2x-1-2)((2x-1)^2 + 2(2x-1) + 4)
8x^3 – 12x^2 + 6x – 9 = (2x-3)(4x^2+3)
or as the difference of two cubes,
(2x-1)^3 - 8 = (2x-1-2)((2x-1)^2 + 2(2x-1) + 4)
These are both correct factorizations of the polynomial expression. Good job!