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

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

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

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

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

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

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

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

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

BBB83
 3 years ago
Best ResponseYou've already chosen the best response.0thanks for the direction much appreciated
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