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List all the real and imaginary zeros of f(x) = x^3+x^2+ 13x  15... 1 is a zero of the function
 one year ago
 one year ago
List all the real and imaginary zeros of f(x) = x^3+x^2+ 13x  15... 1 is a zero of the function
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.0
all possible rational roost are number of the form \(\frac{p}{q}\) where \(p\) divides the constant ( in your case 15) and \(q\) divides the leading coefficient, in your case 1
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
so the possibilites are \[\pm1,\pm3,\pm5,\pm15\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
since you know 1 is a zero, you can factor it as \[(x1)(\text{something})\] and you can find the something by dividing, by synthetic division or by thinking
 one year ago

toadytica305Best ResponseYou've already chosen the best response.0
and to find all real and imaginary zeros
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
in this case you get \[(x1) (x^2+2 x+15)\] and the second part you can find the zeros using the quadratic formula they are complex
 one year ago
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