Question

Polynomial Graph help?

Answer 1

The graph of a 4th degree polynomial function crosses the x axis in two places. How many complex roots does the function have?

1
2
4
0

Answer 2

@phi sorry for tagging, can you help me out?

Answer 3

4th degree polynomial

if you learn one factoid about polynomials, it is
the number of roots = degree of the polynomial

Answer 4

"roots" are the values that make y=0
for "real roots" , the root is the x value where the curve crosses the x-axis
if the root is imaginary, the curve does not cross the x-axis.

Answer 5

to answer your question:
how many roots does a 4th degree polynomial have ?

Answer 6

they tell you
function crosses the x axis in two places

using
for "real roots" , the root is the x value where the curve crosses the x-axis

you know you have 2 real roots.

whatever is left over must be complex roots.

Answer 7

wait so its 2 roots? Im still not good at math lol

Answer 8

how many roots does a 4th degree polynomial have ?

Answer 9

wait 4.

Answer 10

yes. this polynomial has 4 roots
2 of the roots are real
how many are complex (if a root is not real, it is complex)

Answer 11

I should say *only 2 out of the 4 roots are real*
how many of the roots are complex?

Answer 12

2

Answer 13

because if the 2 roots are real and it originally had 4 than it would make 2 complex roots?

Answer 14

yes. good thinking

Answer 15

so it would be 2 then?

Answer 16

yes, 2 real roots and 2 complex roots.