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anonymous
 one year ago
Form a thirddegree polynomial function with real coefficients such that 7 + i and 4 are zeros.
f(x)=
anonymous
 one year ago
Form a thirddegree polynomial function with real coefficients such that 7 + i and 4 are zeros. f(x)=

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well one of the factors is a quadratic with complex roots so start with that the roots is \[x = 7 \pm i\] subtract 7 from both sides of the equation. \[x  7 = \pm i\] square both sides of the equation \[(x 7)^2 = i^2\] you need to remember i^2 = 1 so then its \[(x 7)^2 = 1~~~or~~~~(x 7)^2 + 1 = 0\] so you need to simplify \[(x 7)^2 + 1 \] to get the quadratic factor. the linear factor is when x = 4 or x + 4 is the linear factor... then the polynomial is \[P(x) = (x +4)[(x  7)^2 + 1] \] simplify the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahhh, I see! Thank you. :)
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