How do you factor the expression x cubed minus 3 x plus 2?

Answer 1

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 5) divided by 2.

x = 0.618033988748949

x = -1.618033988749849

Answer 2

x - 1 is in its simplest form. It can't be factored.

Answer 3

2x3 - 2x

It ought to be pretty obvious that the greatest common factor of the two terms

is 2x. Knowing that, the expression can be factored:

2x3 - 2x = 2x (x2 - 1)

Answer 4

x3 - x + 1 has no factors.

Answer 5

(x - 3)^3 = (x - 3)(x - 3)(x - 3)

Answer 6

(x - 1)(x - 1)(x + 2)

Answer 7

2x^3 - 2x = 2x(x - 1)(x + 1)

Answer 8

(x + 1)(x + 1) or (x + 1)2

Answer 9

(x + 1)(x - 3)

Answer 10

x2 - 2x - 3x = x2 - 5x = x (x - 5)