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

Nov 27, 2015

$y = 6 {x}^{3} - 40 {x}^{2} + 86 x - 60$

Explanation:

In general the standard form of a polynomial is
$\textcolor{w h i t e}{\text{XX}} y = {a}_{n} {x}^{n} + {a}_{n - 1} {x}^{n - 1} + \ldots + {a}_{2} {x}^{2} + {a}_{1} {x}^{1} + {a}_{0}$

To achieve the standard form, multiply out the expression
$y = 2 \left(x - 3\right) \left(3 {x}^{2} - 6 x - 5 x + 10\right)$
$y = 2 \left(3 {x}^{3} - 11 {x}^{2} + 10 x - 9 {x}^{2} + 33 x - 30\right)$
$y = 2 \left(3 {x}^{3} - 20 {x}^{2} + 43 x - 30\right)$
$y = 6 {x}^{3} - 40 {x}^{3} + 86 x - 60$