Question

Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x)=x^5+2x^4+10x^3+9x^2+10x-539



ANSWER:

Answer 1

539 = 7*7 *11

Answer 2

i just looked up the theorem on wolfram - the rational root should have a numerator which is a factor of -539 and denominator which is a factor of coefficinet of x^5 which is 1. The value of the root is 2.699 - so how can we reconcile that? I've never heard of the theorem before.
as ive aleady typed -539 = -7*7*11 but how do we get 2.699 from that????

Answer 3

the equation has one real root and 4 complex roots.

Answer 4

okay

Answer 5

the root might be irrational wolfram says its 2.699 approximately so that might be the reason - its a real number but not a rational one.

Answer 6

no they are integers

Answer 7

i have it guys thanks

Answer 8

yes?