Question

I don't understand my problems that I am suppose to do. please help.

Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible.

1.Crosses the x-axis at -4, 0, and 1; lies above the x-axis between -4 and 0; lies below the x-axis between 0 and 1.


3. Touches the x-axis at 0 and crosses the x-axis at 4; lies below the x-axis between 0 and 4