What is the standard form of #y= (x – 1) (x + 2) (x + 3) #?

1 Answer
May 11, 2017

#y=x^3+4x^2-9#

Explanation:

Expand the formula and ensure the power and coefficient go first.

#y=(x-1)(x+2)(x+3)#
#=(x^2+2x-x-3)(x+3)# (Use FOIL on the first two terms)
#=(x^2+x-3)(x+3)# (Simplify)
#=x^2(x+3)+x(x+3)-3(x+3)# (Distribute the #(x+3)#)
#=x^3+3x^2+x^2+3x-3x-9#
#=x^3+4x^2-9# (Simplify)