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

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Answer 1 · 2017-02-19T07:08:26

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

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:

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

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