how many complex roots does this equation have:

Question

anonymous · Answer

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

misty1212 · Answer

HI!

misty1212 · Answer

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

anonymous · Answer

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

misty1212 · Answer

no it is not the same

misty1212 · Answer

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

misty1212 · Answer

positive numbers just means real numbers greater than zero

misty1212 · Answer

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

misty1212 · Answer

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"

anonymous · Answer

okay thank you so much