Question

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

Answer 1

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(c) = 0.`

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

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

`f(x)` needs all these factors, so

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

Does this have the right (leading) coefficient?

You'll learn more if you finish this yourself!
(shortcut: use difference of squares!)

...//dansmath strikes again! \\...