Question

Use the Rational Zeros Theorem to write a list of all potential rational zeros. Then determine which ones, if any, are zeros.
f(x)=6x^3-5x-1

Answer 1

Constant term without the negative sign is 1
Leading coefficient is 6

Write all possible factors of 1 and use a +/- sign: +/-1

Write all possible factors of 6 and use a +/- sign: +/-1, +/-2, +/-3, +/-6

Potential rational zeroes are: each factor of the first one divided by each factor of the second one.

Test each one of them and see which one makes f(x) a zero. Those are the zeros.

Answer 2

Thank you :)

Answer 3

You are welcome!