Question

What is the standard form of `y= (x-2)(3x+2)(-x+8)`?

Answer 1

`-3x^3+28x^2-28x-32`

Explanation:

`"expand the first 2 factors using FOIL then multiply the"`
`"result by the third factor"`

`(x-2)(3x+2)larrcolor(blue)"first 2 factors"`

`=3x^2+2x-6x-4`

`=3x^2-4x-4`

`rArr(3x^2-4x-4)(-x+8)larrcolor(blue)"multiply by third factor"`

`=-3x^3+24x^2+4x^2-32x+4x-32`

`=-3x^3+28x^2-28x-32larrcolor(blue)"in standard form"`