Write a polynomial function with the degree of 4 with real coefficients in standard form that has the given zeros -3, -7, 2i, -2i

Question

anonymous · Answer

answer: (x+3)(X+7)(X^2+2)

doggiebounce · Answer

Thank you for the answer! I was wondering if you could help me by showing me the steps to figure out the problem.

anonymous · Answer

sure
ok, you have a zero of-3,-7,-2i, and 2i right?
so you set the zero like this
X=-3,X=-7,X=-2i,X=2i
add them both side, expect the postive 2i is subtract to the x
(x+3)(x+7)(x+2i)(x-2i)

doggiebounce · Answer

How do you get the (x^2+2) in the answer?

anonymous · Answer

you need to mutiply the (x+2i)(x-2i) to get this solution

doggiebounce · Answer

Okay that is what I thought you had to do. Thanks again. :)

anonymous · Answer

welcome