Question

Using the leading coefficient test, choose the answer that describes the end behavior of the polynomial?

(`x^4 + 5^3 + 6x^2 - x - 4) -: (x+ 2 )`

Answer 1

`x^3`

Explanation:

The leading coefficient means we want an approximate function for large x. We can ignore all terms that aren't highest order so the above becomes `x^4/x` which clearly is `x^3`.

The general form of these solutions will be a coefficient times a power, it just so happens that the leading term here has coefficient of 1 for both.