Question 122090
<pre><big>
I'll do one of these to show you the process and then you can do the rest.

If -1, 1, 1, and -6 are zeros of a polynomial, then

{{{x=-1}}} => {{{x+1=0}}}
{{{x=1}}}  => {{{x-1=0}}}
{{{x=1}}}  => {{{x-1=0}}}
{{{x=-6}}} => {{{x+6=0}}}

Therefore, the polynomial must be:

{{{(x+1)(x-1)(x-1)(x+6)}}}
{{{(x^2-1)(x^2+5x-6)}}}
{{{x^4+5x^3-6x^2-x^2-5x+6}}}
{{{x^4+5x^3-7x^2-5x+6}}}


Use the same method to solve all of the rest.  The degree of the resulting
polynomial (the highest power on x) must equal the number of roots given
if you have done the work properly.

<b>
By the way, typing your message in all CAPS is annoying, impolite, and the
electronic equivalent of shouting.  Please extend all of us the courtesy
of not using all caps.  Thank you.
</b></pre></big>