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

Feb 9, 2016

Standard form is $y = a \cdot {x}^{2} + b \cdot x + c$

#### Explanation:

It is clearly observable that when right hand side is expanded, highest degree of $x$ is $a \cdot {x}^{2} + b \cdot x + c$

In fact this becomes $- 2 x \cdot \left(- x - 4\right) - 5 \cdot \left(- x - 4\right)$

i.e. $2 {x}^{2} + 8 x + 5 x + 20$

i.e. $2 {x}^{2} + 13 x + 20$

From this it is obvious that the standard form is $y = a \cdot {x}^{2} + b \cdot x + c$