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

Question

anonymous · Answer

Here is what I have so far...
(x-5),(x-3),(x-(-1+3i)),(x-(-1-3i))
x^2-8x+15 (x-(-1+3i))(x-(-1-3i))

anonymous · Answer

@dumbcow Could you help me work this out please?

anonymous · Answer

@undeadknight26 Could you help me out?

anonymous · Answer

@dumbcow I could use some guidance to answer this question, I would really appreciate it.

anonymous · Answer

Could you walk me through this problem please @Mimi_x3

dumbcow · Answer

yes you have the right idea, it can get tedious to distribute all the "i's "

here is my suggestion for these problems:
set x equal to the given zero,  then rearrange equation so it equals 0, then you will get each factor

x = 5    ----->  x -5 = 0

x = -3   -----> x +3 = 0

x = -1 + 3i
x+1 = 3i     (square both sides to get rid of i, i^2 = -1)

(x+1)^2 = -9    -----> x^2 +2x +10 = 0

anonymous · Answer

So would I do the same thing with x = -1 - 3i? @dumbcow