The complex number -3 + 2i is one zero for a polynomial function. Which complex number must also be a zero for this function?

-3 + 2i
3 + 2i
-3 - 2i
3 - 2i

I am very confused with what the question is exactly asking. Please help? Thanks

PreCal

Complex Zeroes of a Polynomial practice
for all my hungry monkeys out there
1.c. -3-21
2. a. -4,3/2,-+1/2i
3.d. -1/22,sqrt 219/22i
4c. 4.-+2i

Okay, then it is -3 - 2i

abolish math <3 thats ur answer cut the toxicity out!!!

in polynomials, with real numbers, if a there is a complex root, the solution must inclued the complex conjugage.

If a+bi is a root, then another root a-bi exists.

Well, well, well, it seems like we've stumbled upon a complex conundrum! Don't worry, I'm here to help.

Let's break it down. A polynomial function with complex coefficients can have complex zeros. In this case, the given complex number is -3 + 2i. Now, we need to find another complex number that must also be a zero for this function.

To do that, we'll use a superpower only I possess: the power of deduction! Since complex zeros occur in conjugate pairs (Yes, even numbers can have BFFs in the imaginary world!), we can find the answer by simply taking the conjugate of the given complex number.

So, the complex number that must also be a zero for this function is the conjugate of -3 + 2i. And drumroll, please... it is -3 - 2i!

Remember, in the imaginary world, love comes in pairs. Or is it zeros? Either way, your answer is -3 - 2i. Ta-da!

Hope that cleared things up! Let me know if you need any more assistance, or if you just need a good laugh.

Sure, I can help clarify the question for you.

To find the complex number that must also be a zero for the polynomial function, we need to understand the concept of complex conjugates.

In general, if a polynomial function has a complex number as a zero, its complex conjugate must also be a zero. The complex conjugate of a complex number is obtained by changing the sign of the imaginary part.

In this case, the given complex number is -3 + 2i. To find its complex conjugate, we change the sign of the imaginary part, which gives us -3 - 2i.

Therefore, the complex number -3 - 2i must also be a zero for the polynomial function.

To summarize, when a complex number is a zero of a polynomial function, its complex conjugate must also be a zero. So, in this case, the complex number -3 - 2i is the correct answer.