SOLUTION: Find a polynomial function having the following zeros: – 5, 3 (multiplicity 2), 2 + i, 2 – i; degree 5.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial function having the following zeros: – 5, 3 (multiplicity 2), 2 + i, 2 – i; degree 5.       Log On


   

Question 261286: Find a polynomial function having the following zeros:
– 5, 3 (multiplicity 2), 2 + i, 2 – i; degree 5.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Since you're given zeros of – 5, 3 (multiplicity 2), 2 + i, 2 – i, we know that the solutions are x=-5, x=3, x=2%2Bi, or x=2-i


Using these equations, move everything to the left side and then use the zero product property to combine the equations. From there, expand and multiply to find the polynomial.