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

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

Algebra.Com

Question 948078: Give an example of a polynomial of degree 8 that has
exactly three zeros.
Answer by jim_thompson5910(35256) (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.
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