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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.
 one year 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).
 one year ago

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

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

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

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

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