Question

create a polynomial that has a degree bigget than 3, a negative leading coefficient, and a constant term less than 5

Answer 1

The following step will help to create a polynomial that meets the given requirements: To create a polynomial that meets the given criteria, we can follow these steps:

1. Start with a polynomial of degree greater than 3,

4 for this example.

2. To ensure a negative leading coefficient, we will place a negative sign in front of the polynomial.

3. To have a constant term less than 5, we'll choose the small number that satisfies this condition.

Putting it all together, one possible polynomial that meets the given criteria is:

-3x^4 + 2x^3 + 6x^2 + 4x + 3

In this example, we have a polynomial of degree 4, a negative leading coefficient (-3), and a constant term less than 5 (3).