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

1 Answer
Jul 29, 2018

#4x^3-6x^2-36x-16#

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"#

#=(2x+4)(2x^2-7x-4)#

#=4x^3-14x^2-8x+8x^2-28x-16#

#=4x^3-6x^2-36x-16larrcolor(blue)"in standard form"#