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)