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

hey b-tich

anonymous · Answer

need help

anonymous · Answer

hey Krissie can you help me please

welshfella · Answer

one zero is complex  1 + 3i so another zero will be its conjugate
do you know what that is?

anonymous · Answer

um hello? and no i don't

welshfella · Answer

the 2 values stay the same but the sign changes
so the conjugate is 1 - 3i

welshfella · Answer

you first write the polynomial in factored form
one of the roots is 2 so what would one factor be?

welshfella · Answer

recall quadratic equations 
(x - 1)(x + 2) = 0
what are the zeros for this equation?

welshfella · Answer

have you done these before?

anonymous · Answer

nope, these are my answers and i think its.. the first one

 f(x) = x4 - 2x2 + 36x - 80
 f(x) = x4 - 3x3 + 6x2 - 18x + 80
 f(x) = x4 - 9x2 + 36x - 80
 f(x) = x4 - 3x3 - 6x2 + 18x - 80

welshfella · Answer

if you haven't done quadratics I'm surprised you are given this problem
you could try substituting each zero - that is 2, -4 , 1 + 3i and 1 - 3i into each option - and see which one they fit

anonymous · Answer

can you please just tell me which one it is?