What is the standard form of y= (3x^2-7)(2x-2) y=(3x27)(2x2)?

2 Answers
Nov 14, 2017

y-2x(3x^2-10)=14y2x(3x210)=14

Explanation:

y=(3x^2-7)(2x-2)y=(3x27)(2x2)
=> y=6x^3-6x-14x+14y=6x36x14x+14
=> y=6x^3-20x+14y=6x320x+14
=> y-6x^3+20x=14y6x3+20x=14
=> y-2x(3x^2-10)=14y2x(3x210)=14

Nov 14, 2017

y=6x^3-6x^2-14x+14y=6x36x214x+14

Explanation:

"expand the factors using the FOIL method"expand the factors using the FOIL method

rArr(3x^2-7)(2x-2)(3x27)(2x2)

=6x^3-6x^2-14x+14larrcolor(red)"in standard form"=6x36x214x+14in standard form

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

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