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?

Answer 1

What is meant by 'upper bound'?

Answer 2

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

Answer 3

If you get 0, then it is a root.

Answer 4

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

Answer 5

i am

Answer 6

i got 80 by substituting x with 3

Answer 7

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

Answer 8

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

Answer 9

A plot is attached.

Answer 10

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

Answer 11

@SantanaG is this from Rational Roots test topic ?

Answer 12

no

Answer 13

ok then rob's pdf shows everything

Answer 14

ok cool thanks everyone! :)

Answer 15

np hope u figured out the answer :)