Question

How do you find the product of `(n-4)(n+2)(n+1)`?

Answer 1

`n^3-n^2-10n-8`

Explanation:

`"Given factors of the form " (n+a)(n+b)(n+c)`

`"We can expand using the method"`

`n^3+(a+b+c)n^2+(ab+bc+ac)n+abc`

`"here " a=-4,b=2" and c=1`

`rArrn^3+(-4+2+1)n^2+(-8+2-4)n+(-4xx2xx1)`

`=n^3-n^2-10n-8larrcolor(red)" is the product"`