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?

Answer 1

gosh I friggin hate synthetic division

Answer 2

do you have any idea what it is?

Answer 3

Use synth. div. to find all of the real zeros of f(x) = 2x^3 - 2x^2 - 3x - 5. Then arrange your zeros in increasing order.

Answer 4

There is a Lower bound theorem, that tells us how the Quotient terms should look, after performing synthetic division with a number that serves as a Lower Bound for the zeros

Answer 5

it is safe to assume that the person doesn't have a clue what synthetic division is

Answer 6

Perhaps...

Do you know the theorem I'm talking about? @kfux

Answer 7

@nincompoop: comments like this have NO place here. Either help or stay out of ths discussion, please.

Answer 8

no

Answer 9

I'd encourage you to do Internet searches in situations like this. I am not familiar with the "lower bound theorem," so performed a search and obtained the following results:

Upper and Lower Bounds for Roots

www.chesapeake.edu/khennayake/WebCT/.../3.5.ppt


Chesapeake College
3.5: More on Zeros of Polynomial Functions. The Upper and Lower Bound Theorem helps us rule out many of a polynomial equation's possible rational roots.

Answer 10

Lower Bound:If you divide a polynomial function f(x) by (x - c), where c < 0, using synthetic division and this yields alternating signs, then c is a lower bound to the real roots of the equation f(x) = 0. Special

Upper Bound If you divide a polynomial function f(x) by (x - c), where c > 0, using synthetic division and this yields all positive numbers, then c is an upper bound to the real roots of the equation f(x) = 0

So I'm thinking we should test to see if k=4 is an upper bound since its >0
Do you know how to do the synthetic division?

Answer 11

thank you !

Answer 12

You're welcome, good luck! :)