SOLUTION: list all the possible rational zeros of f(x)=2x^3-5x^2+3x-1

Question 656143: list all the possible rational zeros of f(x)=2x^3-5x^2+3x-1
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

f(x) = 2x� - 5x� + 3x - 1

If there are any rational zeros, then when it is reduced to lowest terms,
its numerator must be a factor of the absolute value of the last term, and
the denominator must be a factor of the absolute value of the leading coefficient.

Absolute value of last term = |-1| = 1 which has 1 as its only factor.
Absolute value of leading coefficient = |2| = 1 which has factors 1 and 2.

Possible numerator for rational zeros in lowest terms:  �1
Possible denominators for rational zeros in lowest terms: �1, �2 

Possible rational zeros: �1, 

As it turns out, none of those are zeros.

Edwin

RELATED QUESTIONS
list all the possible rational zeros of... (answered by solver91311)

List all of the possible rational zeros of... (answered by Nate)

List all of the possible rational zeros of f(x) = 3x^5 - 7x^3 + 2x -... (answered by Edwin McCravy)

List all possible rational zeros of the polynomial function... (answered by Edwin McCravy)

List all of the possible rational zeros of f(x) = 3x^3 - 2x^2 + 7x +6 Thanks in... (answered by richwmiller)

list all possible rational zeros of the function f(x)=... (answered by stanbon)

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the... (answered by richwmiller)

Use the rational zero theorem to list all the possible rational zeros of f(x). f(x)=... (answered by Fombitz)

List the possible rational zeros of f using the rational zero theorem. f(x) = x^3 +... (answered by richard1234)