Question

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

Answer 1

`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"`