Question

What is the standard form of `y= (-5/4x+3/2x^2)(x-2)`?

Answer 1

`=3/2x^3-17/2x+5/2x`

Explanation:

First,you would multiply term by term the polynomials:

`color(red)(-5/4x)* xcolor(red)(-5/cancel4^2x)* (-cancel2)+color(blue) (3/2 x^2) * x + color(blue)(3/cancel2x^2)*(-cancel2)`

`=color(green)(-5/4x^2)+5/2x+3/2x^3color(green)(-3x^2)`

and then sum the like terms:

`=3/2x^3-17/2x+5/2x`