# How do you write a polynomial function given the real zeroes 8,-i, i and coefficient 1?

Nov 28, 2015

For each zero c, meaning f(c) = 0, your function f(x) has to have a factor (x - c). Your function needs ___ factors. (You fill in!)

#### Explanation:

Concept: If $x = c ,$ then $x - c = 0$. We want $f \left(c\right) = 0.$

We have zeroes: x = ?, x=? ,and x=?.

So we will have factors: (x - ?), (x - ?), and (x-?).

$f \left(x\right)$ needs all these factors, so

f(x) = (x-?)(x-?)(x-?). Now multiply it out!

Does this have the right (leading) coefficient?