Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 8i

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 8i

anonymous · Answer

it is clear that two factors are $(x-7)$ and $(x+11)$?

anonymous · Answer

the hard part is finding a polynomial with zeros at $2+8i$ and its conjugate $2-8i$
there are a couple ways to do it
one is hard
one is easy 
one is real real easy
you choose

anonymous · Answer

real easy

anonymous · Answer

f(x) = x4 - 9x3 - 56x2 + 290x - 5236
 f(x) = x4 - 9x3 + 56x2 - 290x + 5236
 f(x) = x4 - 145x2 + 580x - 5236
 f(x) = x4 - 25x2 + 580x - 5236