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

##### 1 Answer
Mar 7, 2016

$y = 6 {x}^{3} - 10 {x}^{2} - 4 x$

#### Explanation:

To find the standard form of a polynomial , we simply multiply all given factors and group like terms.

$2 \left(x + 3 {x}^{2}\right) \left(x - 2\right) = 2 \left({x}^{2} - 2 x + 3 {x}^{3} - 6 {x}^{2}\right)$

$= 2 \left(3 {x}^{3} - 5 {x}^{2} - 2 x\right)$

$= 6 {x}^{3} - 10 {x}^{2} - 4 x$

Thus we have the standard form:

$y = 6 {x}^{3} - 10 {x}^{2} - 4 x$