## anonymous one year ago how many complex roots does this equation have:

1. anonymous

$x ^{3}+3x ^{2}-x-3$

2. misty1212

HI!

3. misty1212

does "complex roots" include real numbers? it should if so, it has 3 all together, the same as the degree if not then it has no complex roots, as all are real

4. anonymous

i know it has only one positive real root but i dont know if that is the same thing as acomplex root

5. misty1212

no it is not the same

6. misty1212

complex numbers are numbers of the form $$a+bi$$ were $$a,b$$ are real numbers and $$i=\sqrt{-1}$$

7. misty1212

positive numbers just means real numbers greater than zero

8. misty1212

this one factors as $(x+3)(x+1)(x-1)$ so the roots are $\{-3,-1,1\}$

9. misty1212

two are negative real numbers, one is a positive real number but i am not sure how you are suppsed to answer the question since all real numbers are also complex numbers it depends on your teacher maybe you are supposed to say "no complex, 3 real"

10. anonymous

okay thank you so much