What is the standard form of # y= (2x+4)(-x+5)(-x+1)#?

2 Answers
May 21, 2017

#y = -2x^3-8x^2-14x+1#

Explanation:

#y = (-2x^2+10x-4x+20)(-x+1)#
#y = (-2x^2+6x+20)(-x+1)#
#y = -2x^3-2x^2-6x^2+6x-20x+1#
#y = -2x^3-8x^2-14x+1#

Always factor the harder one first, otherwise, factor left to right.

May 25, 2017

#color(blue)(y=2x^3-8x^2-14x+20#

Explanation:

#y=(2x+4)(-x+5)(-x+1)#

#color(white)(aaaaaaaaaaaaa)##2x+4#
#color(white)(aaaaaaaaaa)## xx underline(-x+5)#
#color(white)(aaaaaaaaaaa)##-2x^2-4x#
#color(white)(aaaaaaaaaaaaaaaaa)##10x+20#
#color(white)(aaaaaaaaaaa)##overline(-2x^2+6x+20)#
#color(white)(aaaaaaaa)## xx -x+1#
#color(white)(aaaaaaaaaaaa)##overline(2x^3-6x^2-20x)#
#color(white)(aaaaaaaaaaaaaaa)##-2x^2+6x+20#
#color(white)(aaaaaaaa)##color(blue)(y=overline(2x^3-8x^2-14x+20)#