True or False, the number 3 is an upper bound for the set of roots of this polynomial function.

f(x)=3x^4 -5x^3 -5x^2 +5x +2

True?

Question

True or False, the number 3 is an upper bound for the set of roots of this polynomial function.

f(x)=3x^4 -5x^3 -5x^2 +5x +2

True?

parthkohli · Answer

What is meant by 'upper bound'?

parthkohli · Answer

By the way, you can find if 3 is a root by substituting $x$ with 3.

parthkohli · Answer

If you get 0, then it is a root.

parthkohli · Answer

If you have a guide, then you can try it yourself :P

anonymous · Answer

i am

anonymous · Answer

i got 80 by substituting x with 3

ganeshie8 · Answer

i think +2 is the upperbound for set of roots for this polynomial
if upperbound means max value of a root.

anonymous · Answer

if you are not getting 0 it means x=3 is not the root

anonymous · Answer

A plot is attached.

anonymous · Answer

oh ok i see when u substituting you should get 0 as the answer to know its a root?

ganeshie8 · Answer

@SantanaG is this from Rational Roots test topic ?

anonymous · Answer

no

ganeshie8 · Answer

ok then rob's pdf shows everything

anonymous · Answer

ok cool thanks everyone! :)

ganeshie8 · Answer

np hope u figured out the answer :)