Question

Can someone look this over for me??

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
5, -3, and -1 + 3i

f(x) = x4 + 12.5x2 - 50x - 150

f(x) = x4 - 4x3 + 15x2 + 25x + 150

f(x) = x4 - 4x3 - 15x2 - 25x - 150 ---my answer

f(x) = x4 - 9x2 - 50x - 150

Answer 1

@barbillus @SolomonZelman @KlOwNlOvE

Answer 2

A polynomial function with roots a, b, c is written as
f(x)=(x-a)(x-b)(x-c)

for example,
roots -3, 2, 5 give the following
f(x) = (x+3)(x-2)(x-5) and to write the full function you just need to expand.

Can you write your function and then expand it ?

Answer 3

in your case it is going to be f(x)=(x-a)(x-b)(x-c)(x-d) with roots a b c d

Answer 4

x4 - 4x3 + 15x2 + 25x + 150
@SolomonZelman

Answer 5

don't think so

Answer 6

was my first answer right? @SolomonZelman

Answer 7

?? @SolomonZelman