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anonymous
 5 years ago
how do you find the rational and real roots?
x^7+3x^65x^23x5=0
anonymous
 5 years ago
how do you find the rational and real roots? x^7+3x^65x^23x5=0

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0trial and error.. alot of it lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0possible rational roots?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0last#  helps to narrow it down fisrt#

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Rational root test, fundamental theorem of algebra, synthetic division

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i was thinking of writing a javascript to solve these things ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0make a fraction, numerator must divide 5, denom must divide 1, so only choices are \[\pm1, \pm 5\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you can write javascript to find the roots of a poly of degree 7 you would be world famous and galois would have been mistaken.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0no, not all the roots; but the integer and rational roots that could be determined from this lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know i am being silly. you meant to find possible rational roots.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do you find the real roots?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0might be able to work it inside out and complete squares to find all roots .... i wonder

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there is no algorithm for finding the roots of a poly of degree seven.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0only 1  4. that is it. and the one for 3 is a page and the one for 4 is a wall.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0well, you could do the Newton Rhapsody method to find 1 root and narrow it down ..... perhaps ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would try 1, 1, 5 and 5 and see if any work. then you can use synthetic division to reduce. i can see that 1 does not work since \[f(1)=1+3525\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0make sure you include your zero place holders

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(1)=1+35+35=1\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well we have to find one first.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you have a decent calculator check \[f(5)\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0syntheitc can find them as well; but brute calculating is always a good option lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i will divide see if i get 0

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0NewtonRhapsody :D :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0newton rhapsody in blue

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and neither does 5 unless i made a mistake

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.05 1x^7 +3x^6 +0 +0 +0 5x^2 3x 5 0 5 10 50 250 1250 6275  1 2 10 50 250 1255 ...... no mistake lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0D's sign change tells us what ...... do we include zeros as a sign change?
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