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heathernelly
 2 years ago
l
heathernelly
 2 years ago
l

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CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Fundamental theorem of algebra tells you the maximum number of real solutions there are to a polynomial equation. In your example, the highest exponent on x is 5, so there will be at most 5 real solutions.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1The other thing to consider is that not only are there a maximum of 5 real solutions, there are guaranteed 5 solutions total (though some of them may be imaginary).

heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.1how do i solve it though?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1If you have multiple choice options, you don't need to solve it. You choose the only one that makes sense. It's a fifth degree polynomial, that means it has 5 roots; which of those options shows 5 roots?

heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.1ok, bu then then how would that work out for my next equation: x3 – x2 + 5x – 5 = 0

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1(c) is unclear. What are the solutions there?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1(a) and (b) are plausible. The only difference is 1 or 1, so you could test those to see which on is a root.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Ok, well testing x=1 and x=1 will still narrow it down. If x=1 is a root then it has to be (a). If 1 works, then you can factor it out (use synthetic division or whatever).

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Also, this polynomial is factorable, which will show the solutions right away.

heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.1okay, ty for the help :)
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