Question

What is the standard form of `y= (2x + 1) (3x – 4) (x + 3)`?

Answer 1

`y=6x^3+13x^2-19x-12`

Explanation:

Given
`color(white)("XXX")y=(2x+1)(3x-4)(x+3)`

`color(white)("XXX")y="["2x*3x+2x*(-4)+1*3x+1*(-4)"]"(x+3)`

`color(white)("XXX")y="[" 6x^2-5x-4"]"(x+3)`

`color(white)("XXX")y= (6x^3-5x^2-4x)+(18x^2-15x-12)`

`color(white)("XXX")y=6x^3+13x^2-19x-12`

since the terms are in decreasing degree order, this is the "standard form"