Question

What is the standard form of `y= 3x(2x-6)(3x-2)`?

Answer 1

`color(blue)(y = 18x^3 - 66x^2 + 36x, " or " 6(3x^3- 11x^2 + 6x)`

Explanation:

`"Standard form is " y = ax^3 + bx^2 + cx + d, a!= 0`

`y = 3x(2x-6)(3x-2)`

`y = (6x^2 -18x)*(3x-2)`

`y = 18x^3 -54x^2 - 12x^2 + 36x`

`color(blue)(y = 18x^3 - 66x^2 + 36x, " or " 6(3x^3- 11x^2 + 6x)`