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babydoll332
 2 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, 2, and 1 + 2i
babydoll332
 2 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, 2, and 1 + 2i

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babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1f(x) = x4  3x3 + 8x2 + 13x + 40 correct

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0start with \[(x4)(x+2)(x(1+2i))(x(12i))\] and multiply out but before we being the last product is very easy

babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1can you kinda go back words with me work best that way please and thanks

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0if the zeros are \(a+bi\) and \(abi\) the quadratic is \[x^22ax+(a^2+b^2)\] in your case it is \[x^2+2x+5\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0ok lets start at the very beginning

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0if \(1+2i\) is a zero, then so is its conjugate \(12i\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0the quadratic equation that will have those two zeros is \[x^2+2x+5\] is it clear how i got that?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0oh ok good then your final job is to multiply out \[(x4)(x+2)(x^2+2x+5)\]

babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1f(x) = x4  7x2  26x  40

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you can do it in any order you like , but as you can see it is a bunch of algebra you have to do. yes, that is correct

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0yw, it looks like you did it on your own good job
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