Question

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

Answer 1

`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`

Answer 2

`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"`