Question

Can `y=7x^3-4x^2+8x` be factored? If so what are the factors ?

Answer 1

Factor `y = 7x^3 - 4x^2 + 8x`

Explanation:

`y = xY = x(7x^2 - 4x + 8)`. Factor Y.
D = b^2 - 4ac = 16 - 224 < 0. Since D < 0, there are no real roots, therefor, Y can't be factored.
Finally: `y = x(7x^2 - 4x + 8)`