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

Question

Mathematics

Malcolm Blackburn

30 November, 10:37

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

+2

Answers (2)

Know the Answer?

Allyson Hutchinson · Answer 1

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

Step-by-step explanation:

Factors of 7: + -1, + -7

Factors of 3: + -1, + -3

Possible roots:

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

Yin · Answer 2

see below

Step-by-step 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