## anonymous 4 years ago Use the Rational Zeros Theorem to write a list of all potential rational zeros f(x) = 13x^3 + 23x^2 + 2x - 26

1. ganeshie8

factors of -26 : ?

2. ganeshie8

factors of 13 : ?

3. anonymous

i got this ±1, ± 1/3, ±2, ±13, ±26

4. ganeshie8

first have those two

5. ganeshie8

factors of -26 : $$\pm 1, \pm 2, \pm 13, \pm26$$ factors of 13 : $$\pm 1, \pm 2, \pm 13$$

6. anonymous

thats the only factors i can do?

7. ganeshie8

one sec, i have them wrong.

8. ganeshie8

factors of -26 : $$\pm 1, \pm 2, \pm 13, \pm26$$ factors of 13 : $$\pm 1 , \pm13$$

9. ganeshie8

now we need to take p/q

10. ganeshie8

p is from factors of -26 q is from factors of 13

11. anonymous

1/2

12. ganeshie8

p/q : $$\pm1, \pm 1/13, \pm2, \pm 2/13, \pm13, \pm26, \pm2$$

13. ganeshie8

thats the list of potential rational zeroes

14. ganeshie8

what we did is this : take each factor of -26, and divide it by

15. ganeshie8

the each factor of 13

16. anonymous

ohh ok i get it

17. anonymous

ur a goood teacher !

18. ganeshie8

oh thanks :) good to hear u get it :D