SOLUTION: Write a polynomial function with the given zeros. 1. -1,1,1,-6 2. 2,-2,-3 3. 2,1,3 4. 2,3,-3,-1 5. 0,-8,2 6. -10,0,2 PLEASE HELP ME! I NEED TO SEE THE WORK FOR THIS TOO. THA

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a polynomial function with the given zeros. 1. -1,1,1,-6 2. 2,-2,-3 3. 2,1,3 4. 2,3,-3,-1 5. 0,-8,2 6. -10,0,2 PLEASE HELP ME! I NEED TO SEE THE WORK FOR THIS TOO. THA      Log On


   

Question 122090: Write a polynomial function with the given zeros.
1. -1,1,1,-6
2. 2,-2,-3
3. 2,1,3
4. 2,3,-3,-1
5. 0,-8,2
6. -10,0,2
PLEASE HELP ME! I NEED TO SEE THE WORK FOR THIS TOO. THANK YOU VERY MUCH
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

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%2B1=0
x=1  => x-1=0
x=1  => x-1=0
x=-6 => x%2B6=0

Therefore, the polynomial must be:

%28x%2B1%29%28x-1%29%28x-1%29%28x%2B6%29
%28x%5E2-1%29%28x%5E2%2B5x-6%29
x%5E4%2B5x%5E3-6x%5E2-x%5E2-5x%2B6
x%5E4%2B5x%5E3-7x%5E2-5x%2B6


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.


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.