Question

Use the Rational Zeros Theorem to write a list of all potential rational zeros

f(x) = 13x^3 + 23x^2 + 2x - 26

Answer 1

factors of -26 : ?

Answer 2

factors of 13 : ?

Answer 3

i got this ±1, ± 1/3, ±2, ±13, ±26

Answer 4

first have those two

Answer 5

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

Answer 6

thats the only factors i can do?

Answer 7

one sec, i have them wrong.

Answer 8

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

Answer 9

now we need to take p/q

Answer 10

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

Answer 11

1/2

Answer 12

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

Answer 13

thats the list of potential rational zeroes

Answer 14

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

Answer 15

the each factor of 13

Answer 16

ohh ok i get it

Answer 17

ur a goood teacher !

Answer 18

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