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

1 Answer
Jul 28, 2018

#y=x^3+4x^2-3x-18#

Explanation:

#"the standard form of a polynomial of degree 3 is"#

#•color(white)(x)y=ax^3+bx^2+cx+d color(white)(x);a!=0#

#"Expand the factors and collect like terms"#

#y=(x-2)(x^2+6x+9)#

#color(white)(y)=x^3+6x^2+9x-2x^2-12x-18#

#color(white)(y)=x^3+4x^2-3x-18larrcolor(blue)"in standard form"#