Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, 3+9i really need some help!

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, 3+9i really need some help!

anonymous · Answer

@TuringTest could you help me out?

anonymous · Answer

@amistre64 could you help me out?

anonymous · Answer

@undeadknight26 could you help me out?

mathmath333 · Answer

$\large\tt \color{black}{x=8, x=-14,x= 3+9i}$

$\large\tt \color{black}{therefore~~(x-8)(x+14)[x-(3+9i)]=0}$

mathmath333 · Answer

expand it u will get the equation

anonymous · Answer

alright, I mess up while working that out

anonymous · Answer

ill show you  my work

mathmath333 · Answer

bring it on

anonymous · Answer

(x-8)(x+14)(((x-3)-9i)((x-3)+9i)
(x-8)(x+14)(x^2-6x-72)
(x-8)(x^3+8x^2-156x+1008)
x^4-220x^2+2256-8064 [final answer]
This isn't one of the listed answers, so im thinking i went wrong somewhere...

anonymous · Answer

@undeadknight26 care to join?

undeadknight26 · Answer

Not good at this stuff..just learned it..

anonymous · Answer

listed answers
A.)f(x)=x^4-11x^3+72x^2-606x+10800
B.)f(x)=x^4-303x^2+1212x-1080
C.)f(x)=x^4-11x^3-72x^2+606x-10800
D.)f(x)=x^4-58x^2+1212x-10800

anonymous · Answer

I just learned it too....

undeadknight26 · Answer

I...I have no idea im sorry.

mathmath333 · Answer

calculation of (x-3)-9i)((x-3)+9i) is wrong

mathmath333 · Answer

apply formula (a-b)(a+b)=a^2-b^2

anonymous · Answer

thank anyways undead and could you show mathmath?

mathmath333 · Answer

(x-3)^2-(9i)^2=

mathmath333 · Answer

do u know the value of i?

anonymous · Answer

yes imaginary numbers

mathmath333 · Answer

so go on calculate

anonymous · Answer

so (x^2-9)+9?

anonymous · Answer

or would be just x^2?

mathmath333 · Answer

x^2-6x+81+9

anonymous · Answer

oh ok i see what you did

anonymous · Answer

so would i take that and multiply it by (x-8)(x+14)(x^2-6x+81+9)

mathmath333 · Answer

yes absolutely

mathmath333 · Answer

x^2-6x+81+9=x^2-6x+90

anonymous · Answer

Alright let me work it and could you check it?

mathmath333 · Answer

yes

anonymous · Answer

I got x^4-16x^3+70x^2+1196x-10080

anonymous · Answer

@mathmath333

anonymous · Answer

alright i got it, you have to multiply (x-8) first the final answer was x^4-58x^2+1212x-10080

anonymous · Answer

thank you for taking the time and helping @mathmath333 I really appreciate it!

mathmath333 · Answer

yes correct!!

mathmath333 · Answer

welcome $\Huge\tt \color{black}{\ddot\smile}$