Question

What is the standard form of `y= (2x+4)(x-4)(2x+1)`?

Answer 1

`4x^3-6x^2-36x-16`

Explanation:

`"the standard form of a polynomial of degree 3 is"`

`•color(white)(x)y=ax^3+bx^2+cx+d color(white)(x);a!=0`

`"Expand the factors and collect like terms"`

`=(2x+4)(2x^2-7x-4)`

`=4x^3-14x^2-8x+8x^2-28x-16`

`=4x^3-6x^2-36x-16larrcolor(blue)"in standard form"`