SOLUTION: Give an example of a polynomial of degree 8 that has exactly three zeros.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Give an example of a polynomial of degree 8 that has exactly three zeros.      Log On


   

Question 948078: Give an example of a polynomial of degree 8 that has
exactly three zeros.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
It's easiest to start with a factored form since that factored form gives you the roots exactly

So something like (x-2)(x-3)(x+4) has 3 roots. Now let's add on exponents so that the degree is 8.

So we can do something like (x-2)^4*(x-3)*(x+4)^3 and that will have the degree be 8.