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

2, -4, and 1 + 3i

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

2, -4, and 1 + 3i

anonymous · Answer

I know it's 
(x^2 + 2x - 8)(x-(1+3i))(x-(1-3i))
But Idk where to go from there

blurbendy · Answer

distribute the - sign on one of the imaginary solutions, and multiply it by the x^2 + 2x - 8, then multiply the other imaginary solution to the answer you got by the previous multiplication.  you should get:

x^4 -2x^2 +36x -80

anonymous · Answer

Awesome! Thanks!

blurbendy · Answer

np