Question

how do I find the exact zero's of the function g(x). Verify at least one zero using synthetic division,
g(x)6x^3-31x^2+25x+12

Answer 1

if it has rational zeros (can be formed into fractions)

there is a way to pool all your possible options to text with

Answer 2

rational roots would have to conform to this\[\frac{factors.of.first}{factors.of.last}\]

Answer 3

Right, so once i get the rational roots I just plug them back into original equation right?

Answer 4

yes, the rational roots give you a possible pool that lessens the trial and errors you need to hash out

Answer 5

so in this case we have factors 12
----------
factors of 6


1,2,3,4,6,12
----------- create all the possible fraction you can from these to test with
1,2,3,6

Answer 6

oh, and make sure you use both + and - versions of them

Answer 7

and when I use synthetic division I use leading coefficients and divide by 2?..
ex.