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CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Fundamental 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.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
The 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).
 2 years ago

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

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
If 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?
 2 years ago

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

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

CliffSedge Group TitleBest 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.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Ok, 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).
 2 years ago

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

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

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
My pleasure.
 2 years ago
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