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Given a Polynomial, \(p(x) = a_0 + a_1x^2 + \ldots +a_nx^n\). How would I get number of real roots for \(p(x)=0\)?
 one year ago
 one year ago
Given a Polynomial, \(p(x) = a_0 + a_1x^2 + \ldots +a_nx^n\). How would I get number of real roots for \(p(x)=0\)?
 one year ago
 one year ago

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amistre64Best ResponseYou've already chosen the best response.1
\[\pm\frac{factors.of. a_n}{factors.of. a_0}\] rational root thrm
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
if these dont work, it gets messy
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
might have to resort to fancier trial and error methods
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
Ohh, rational root theorem. hmm can you explain it a lil'bit. How does it work and stuff.
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
okay. so, it doesn't works always.
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
How about if \(p(x) = x^2+12x5\)?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
your poly is backwards so my write up is upside down i think the idea is that the last term needs to have a factor of a0/an .. in this case to even have a shot of working out
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
what are the rational roots of 5/1 ? 1,5,1,5 if these are gonna be roots, they will create a 0 when plugged into the equation
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
otherwise, for quadratics, we can use the quadratic formula, which is just the shorthand version of completeing the square
 one year ago
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