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

##### 1 Answer
Feb 19, 2017

$= \frac{3}{2} {x}^{3} - \frac{17}{2} x + \frac{5}{2} x$

#### Explanation:

First,you would multiply term by term the polynomials:

$\textcolor{red}{- \frac{5}{4} x} \cdot x \textcolor{red}{- \frac{5}{\cancel{4}} ^ 2 x} \cdot \left(- \cancel{2}\right) + \textcolor{b l u e}{\frac{3}{2} {x}^{2}} \cdot x + \textcolor{b l u e}{\frac{3}{\cancel{2}} {x}^{2}} \cdot \left(- \cancel{2}\right)$

$= \textcolor{g r e e n}{- \frac{5}{4} {x}^{2}} + \frac{5}{2} x + \frac{3}{2} {x}^{3} \textcolor{g r e e n}{- 3 {x}^{2}}$

and then sum the like terms:

$= \frac{3}{2} {x}^{3} - \frac{17}{2} x + \frac{5}{2} x$