Question

find all possible rational zeros of the polynomial function f(x) = 4x^3 – 5x^2 + 9x – 6.


I did it and I got +-1 +-2+- 3+- 6 +-1/2 +- 3/2 +- 1/4+- 2/4+- 3/4+- 6/4
can some one please check my work thanks

Answer 1

hold up

Answer 2

Try pluging all values till 6 and -6, it doenst look like this function have rational zeros.

Answer 3

All possible rational zeros: p/q where p is the constant and q is the leading coefficient.
±1/4, ±1/2, ±3/4, ±1, ±3/2, ±2, ±3, ±6.

Answer 4

From wolf.
http://www.wolframalpha.com/input/?i=0+%3D+4x%5E3+%E2%80%93+5x%5E2+%2B+9x+%E2%80%93+6.+

Answer 5

±2/4 and ±6/4 are already there, but simplified.

Answer 6

can you explain to me what your tallking about please

Answer 7

Alright, Do you know the rational root theorem though? How you got the ±1, ±2, etc?

Answer 8

First I found the factors of -6 and 4

Answer 9

Yeah. THat's called the rational root theorem. Your answer is generally correct, but all I was saying was that 6/4 = 3/2 and 2/4 = 1/2 which are already there. Those additional ones like I said are unnecessary.

Answer 10

So, your answer is correct :)

Answer 11

okay just write out the final answer for me to make sure

Answer 12

±1/4, ±1/2, ±3/4, ±1, ±3/2, ±2, ±3, ±6