Question

Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.

k = 4; f(x) = 2x3 - 2x2 - 3x - 5; Lower bound?

Yes
No

Answer 1

Urgh it's hard to explain synthetic division on chat... but do you know how to use synthetic division?

Answer 2

a little bit

Answer 3

use synthetic division on the equation with k value of 4 and see what remainder you get and that will let you determine if it's lower bound or upper bound.

Answer 4

i know the basics, i know the rules, i just cant seem to get this one

Answer 5

but upper bound, what exactly is it? and lower bound? i guess thats what i dont understand

Answer 6

seems to me you'd end up having to get all roots, since you're given one, x-4, then the others should be just a matter of a quadratic remainder

Answer 7

If every term is positive it's an upper bound, if signs alternate everyterm, tat means it's lower bound.

Answer 8

ok so when you find the equation after the division, you see if the signs are the same or alternating?

Answer 9

Wait i think all the signs should be positive actually. and Yes you have to see that and see if the signs are positive (or same) or alternating

not sure on the same or positive part though...

Answer 10

but how do you write up the division? what is k?