SOLUTION: use the rational root theorem to list all possible rational roots of the polynomial equation x3+x2+-7x-4=0 do not find the actual roots. How do i do this problem

Question 283568: use the rational root theorem to list all possible rational roots of the polynomial equation x3+x2+-7x-4=0 do not find the actual roots.
How do i do this problem
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients

So let's list the factors of -4 (the last coefficient):

Now let's list the factors of 1 (the first coefficient):

Now let's divide each factor of the last coefficient by each factor of the first coefficient

Now simplify

These are all the distinct rational zeros of the function that could occur

Note: Not all of these values are actual roots.
RELATED QUESTIONS
Use the Rational Root Theorem to list all possible rational roots of the polynomial... (answered by jim_thompson5910)

Use the Rational Root Theorem to list all possible rational roots of the polynomial... (answered by Theo)

Use the Rational Root Theorem to list all possible rational roots of the polynomial... (answered by solver91311)

Use the Rational Root Theorem to list all possible rational roots of the polynomial... (answered by jsmallt9)

Use the rational root theorem to list all possible rational roots for each equation.then... (answered by KMST)

list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by (answered by josgarithmetic)

Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by Mathtut)

Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by robertb)