Question

Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 4x3 – 5x2 + 9x – 6.

Answer 1

I just need to check if I did this one right :)

By the rational root theorem, all possible rational roots of a polynomial are given by p/q, where p is a factor of the polynomial's constant term and q is a factor of the polynomial's leading coefficient.
So here are the factors:
Factors of the constant term are ±1, ±2, ±3, and ±6.
Factors of the leading coefficient are ±1, ±2, and ±4.
So all possible rational roots are ±1, ±1/2, ±1/4, ±2, ±3, ±3/2, ±3/4, and ±6.
But when I check it seems like there is no rational roots.

@IMStuck

Answer 2

let me do it

Answer 3

kk

Answer 4

BTW your explanation is beautiful!!!

Answer 5

thanks!

Answer 6

You're right none of them work. That only means that you have only nonreal complex roots. On your calculator you can find them.

Answer 7

ok. But I'm not sure if the question is asking for them, right? :/ not sure

Answer 8

They don't ask for them; they just want you to explain how you would get them. You explained beautifully!!!

Answer 9

awwww, you're very kind. Thank you for the help ;)

Answer 10

One root is (x-.79445)

Answer 11

You would never have found that using anything but a calculator!

Answer 12

okay :)

Answer 13

I'm trying to find another zero, and I am at an x value of 34 and the y value is 155,219.6!
No wonder you can't do this one by hand!

Answer 14

oh lol ! (✿◠‿◠)