Question

Find rational zeros for

Answer 1

use synthetic division with the rational roots theorem

Answer 2

or long division + rational roots

Answer 3

how to do synthetic division for this.

Answer 4

first you must figure out what the roots can possibly be by using the rational roots theorem

first take the coefficient of your leading term...it's 1.
next take the coefficient of your ending term. It's 12

the rational roots theorem says that all possible rational roots will

Factors of ending coefficient/ factors of leading coefficient.

so find the factors of 12

1,2,3,4,6,12

and divide it by the factors of your leading coefficient (1)


you'll just get 1,2,3,4,6,12. Now to setup the synthetic division

Answer 5

are you allowed to use a calculator?

Answer 6

yes

Answer 7

alright graph the function on your calculator this will give you an estimate of a few zeroes... and then you cna prove them using synthetic division.. when you graphed this function what did the zeroes look like

Answer 8

Graphical calculators are not allowed.

Answer 9

just show me for one zero how to do synthetic division.

Answer 10

alright so pick a factor out of the possible roots, i'm going to pick 1 (also in the above i didn't put the negative of the numbers possible,but they're also a possibility.

now first you take your possible roots in the left corner

Answer 11

then take all the coefficients of your terms