Question

In the given graph of a cubic polynomial, what are the number of real zeros and complex zeros, respectively? http://gyazo.com/9bc7bb68fe41f9ff84ee31182b6f8d6d

Answer 1

I get that there's one "real zero," but I don't know how to find the amount of complex zeroes.

Answer 2

by mane algebra theorem a polinomial of degree n has n zeros. Some might be real, some - imaginary. Real zeros are the points where the graph crosses x-axis. In your graph, , it only does so in one place. So , 1 real zero. Rest will have to be imaginary

Answer 3

How do I figure out how many complex zeros are there, though?

Answer 4

read my comment above. :)

Answer 5

I did. What does that mean for the amount of complex zeros?

Answer 6

I get that the rest are imaginary, but how do I establish how many there are?

Answer 7

your polinomial is degree 3, so it will have 3 zeros. One of them is real, rest 3-1=? will be imaginary

Answer 8

Ah, alright. That makes sense. Thank you.

Answer 9

yw