What is the standard form of #y= (3x^2-7)(2x-2) #?

2 Answers
Nov 14, 2017

#y-2x(3x^2-10)=14#

Explanation:

#y=(3x^2-7)(2x-2)#
#=> y=6x^3-6x-14x+14#
#=> y=6x^3-20x+14#
#=> y-6x^3+20x=14#
#=> y-2x(3x^2-10)=14#

Nov 14, 2017

#y=6x^3-6x^2-14x+14#

Explanation:

#"expand the factors using the FOIL method"#

#rArr(3x^2-7)(2x-2)#

#=6x^3-6x^2-14x+14larrcolor(red)"in standard form"#

#"to express a polynomial in "color(blue)"standard form"#

#"start with the term with the highest exponent of the "#
#"variable followed by decreasing exponents of the variable"#
#"in descending order"#