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

Respuesta :

The other zero will be a conjugate of the given root The values will be the same but the sign is different 
So in this case the zero  is  -3 - 2i

The zero for a polynomial function is -3 - 2i.

Option C is correct.

What is a zero for a polynomial function?

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They tell us about the x-intercepts of the polynomial's graph.

We see that for the zero polynomial, P(x) = 0, any value of x, will give the value of P(x) to be zero. Hence, the number of zeros of the polynomial is infinite.

Polynomial function

A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x.

According to the question

The complex number -3 + 2i is one zero for a polynomial function.

The other zero will be a conjugate of the given root.

The value will be the same but the sign is different.

Complex numbers are the numbers that are expressed in the form of

a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”.

So in this the zero is -3 - 2i.

Hence,

The zero for a polynomial function is -3 - 2i.

Option C is correct.

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