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I am doing a school assignment, and it said; "There are several other possible combinations of factors for a quartic polynomial. Continue your investigation into at least two of these other possibilities, including a polynomial having a real quadratic factor with complex conjugate roots." What does it mean? Could you please give me an example of the equation? (I am really struggling with this, so I really need help with this)

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They're asking you to factor the quartic into two quadratics so that at least one of the quadratics doesn't split further over the real numbers (hence, its factors are complex functions).

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  • $\begingroup$ what does that mean tho? Could you please provide an example please... $\endgroup$ – Austin Nov 16 '19 at 7:09
  • $\begingroup$ @Austin Exactly what is unclear that you want an example of? $\endgroup$ – Allawonder Nov 16 '19 at 17:24

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