Question

What is the standard form of `y= (x+3)^3(14-x)`?

Answer 1

`color(maroon)(=> -x^4 + 5x^3 + 99x^2 + 351x + 378` is the standard form.

Explanation:

`(x+3)^3 * (14-x)`

`=> (x^3 + 27 + 9x^2 + 27x) * (14-x)`

`=> 14x^3 + 378 + 126x^2 + 378x - x^4 - 27x - 9x^3 - 27x^2`

`color(maroon)(=> -x^4 + 5x^3 + 99x^2 + 351x + 378` is the standard form.