Question

Using the rational root theorem, list the possible zeros

Using p/q list all the possible zeros of the following equation: 3x^2 – 6x -7 = 0.
Hint: there are 8 correct answers.
Suggested format for answer:
List factors of p:
List factors of q:
List possible zeros: +/- p/q
May also use a punnet square to show 8 possible answers

Answer 1

+/- 1, +/- 7, +/- 1/3, +/- 7/3

Explanation:

Factors of 7: +-1, +-7

Factors of 3: +-1, +-3

Possible roots:

+/- 1, +/- 7, +/- 1/3, +/- 7/3

Answer 2

see below

Explanation:

We can use the rational root theorem.

3x^2 – 6x -7 = 0.

List factors of p:

p is the constant term,7 so the factors are

-7,7,1,-1

List factors of q:

q is the coefficient of the leading term 3

+3,-3,+1,-1

List possible zeros: +/- p/q

±7/3, ±1/3, ±7/1, ±1/1

±7/3, ±1/3, ±7, ±1