## sara1234 3 years ago 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

1. truck

hold up

2. truck

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

3. Calcmathlete

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.

4. RolyPoly
5. Calcmathlete

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

6. sara1234

can you explain to me what your tallking about please

7. Calcmathlete

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

8. sara1234

First I found the factors of -6 and 4

9. Calcmathlete

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.

10. Calcmathlete

11. sara1234

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

12. Calcmathlete

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