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anonymous
 one year ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
7, 11, and 2 + 6i
anonymous
 one year ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 7, 11, and 2 + 6i

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in order to have real coefficients, all complex roots must appear as conjugates

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know what the conjugate of 2+6i is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://www.mathsisfun.com/numbers/complexnumbers.html a+bi and abi are complex conjugates

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep so can you write the polynomial in factored form?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no... in factored form it would be something like this... f(x) = (xc)(xd)(x(a+bi))(x(abi))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x)=(x+7)(x 11) (2 + 6i)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not quite... the complex factor would be x(2+6i) and you would need its conjugate as a factor also, if your polynomial is to have real coefficients

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't really understand

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if 4 is a root, it implies that f(4) = 0 and that the polynomial must have a factor of x4, correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so if 2+6i is a root, then x(2+6i) is a factor. but if your polynomial is to have real coefficients then all complex roots must occur as complex conjugate pairs

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so x(26i) also must be a factor

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0once you have the factored form, just multiply out to get into standard form
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