Question

What is the standard form of `y= (4x-2x^2)(4x-3) -(x+2)^3`?

Answer 1

"Standard form" for a polynomial is with all the factors worked out and arranged from highest to lowest exponent.
`y = -9x^3 + 16x^2 - 24x - 8`

Explanation:

First, we combine the factors:
`y = (4x−2x^2)(4x−3) − (x + 2)^3`
`y = (16x^2 - 8x^3 - 12x + 6x^2) − (x^3 + 4x^2 + 4x + 2x^2 + 8x + 8)`

`y = -9x^3 + 16x^2 - 24x - 8`