SOLUTION: Is my work for this problem correct? Directions: State the possible rational zeros for each function. Question: f(x) = 3x^2 + 2x – 1 Answer: Constant term:-1 Factors: 1 L

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Is my work for this problem correct? Directions: State the possible rational zeros for each function. Question: f(x) = 3x^2 + 2x – 1 Answer: Constant term:-1 Factors: 1 L      Log On


   



Question 1004987: Is my work for this problem correct?
Directions: State the possible rational zeros for each function.
Question: f(x) = 3x^2 + 2x – 1
Answer:
Constant term:-1 Factors: 1
Leading coefficient:3 Factors: 1 and 3
±1/1,3= ±1/1,3 and ±1/1,3
= ±1/1 and ±1/3
= ±1 and ±1/3

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, but you are not clear about doing anything with that information. Factorize or just decide on those basic facts? You could try synthetic division to test those possible roots. Try the easy ones first.


Check the discriminant, although your exercise might expect you to check roots using synthetic division...
The discriminant is 16=4%5E2, so you should expect two RATIONAL roots.


-
x=%28-2%2B-+4%29%2F6


Roots are therefore -1 and +1/3.