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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
 one year ago
 one year 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
 one year ago
 one year ago

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babydoll332Best ResponseYou've already chosen the best response.1
f(x) = x4  3x3 + 8x2 + 13x + 40 correct
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
start with \[(x4)(x+2)(x(1+2i))(x(12i))\] and multiply out but before we being the last product is very easy
 one year ago

babydoll332Best ResponseYou've already chosen the best response.1
can you kinda go back words with me work best that way please and thanks
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
if the zeros are \(a+bi\) and \(abi\) the quadratic is \[x^22ax+(a^2+b^2)\] in your case it is \[x^2+2x+5\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
ok lets start at the very beginning
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
if \(1+2i\) is a zero, then so is its conjugate \(12i\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
the quadratic equation that will have those two zeros is \[x^2+2x+5\] is it clear how i got that?
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
oh ok good then your final job is to multiply out \[(x4)(x+2)(x^2+2x+5)\]
 one year ago

babydoll332Best ResponseYou've already chosen the best response.1
f(x) = x4  7x2  26x  40
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
you 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
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
yw, it looks like you did it on your own good job
 one year ago
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