# What is the standard form of  y= (x-6)(-x+4)(x-3)?

May 29, 2018

color(crimson)(x^3 + 13x^2 - 54x + 72 is the standard form.

#### Explanation:

$y = \left(x - 6\right) \left(4 - x\right) \left(x - 3\right)$

$y = \left(4 x - 24 - {x}^{2} + 6 x\right) \left(x - 3\right)$

$y = \left(- {x}^{2} + 10 x - 24\right) \left(x - 3\right) .$

$y = - {x}^{3} + 10 {x}^{2} - 24 x + 3 {x}^{2} - 30 x + 72$

color(crimson)(x^3 + 13x^2 - 54x + 72 is the standard form.

Degree of polynomial : 3

No. of terms : 4