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BBB83
Group Title
form a third degree polynomial function with real coefficients such that 8+i and 7 are zeros
f(x) = ???
 2 years ago
 2 years ago
BBB83 Group Title
form a third degree polynomial function with real coefficients such that 8+i and 7 are zeros f(x) = ???
 2 years ago
 2 years ago

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rivermaker Group TitleBest ResponseYou've already chosen the best response.0
Since coefficients are real, the two complex roots have to be conjugates. So the simplest polynomial is \[(x7)(x 8 i)(x8+i)\]
 2 years ago

BBB83 Group TitleBest ResponseYou've already chosen the best response.0
The question wants the answer in a X^3 +bx^2+cX+# ?? so im confused.....
 2 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.2
x = 8 + i x8 = +i (x8)^2 = 1 (x8)^2 +1 = 0 x^216x +65 = 0 > (x7)(x^216x+65) Now distribute
 2 years ago

jerwyn_gayo Group TitleBest ResponseYou've already chosen the best response.0
@dumbcow, why i if the given is positive(+)?
 2 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.2
because complex zeros always come in pairs
 2 years ago

jerwyn_gayo Group TitleBest ResponseYou've already chosen the best response.0
ahh, yeah. . (+) and ()
 2 years ago

BBB83 Group TitleBest ResponseYou've already chosen the best response.0
x^323x^257x455? is that right?
 2 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.2
everything except the "57x" term
 2 years ago

BBB83 Group TitleBest ResponseYou've already chosen the best response.0
thanks for the direction much appreciated
 2 years ago
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