How do you use the rational root theorem to list all possible roots for #x^3+81x^2-49x-49=0#?

1 Answer
Oct 9, 2016

Answer:

The list of all possible rational roots is #+-1,+-7.+-49#

Explanation:

#color(blue)1x^3+81x^2-49x-color(red)(49)=0#

The rational roots theorem says that the list of POSSIBLE rational roots is the factors of the constant #color(red)(49)# divided by the factors of the leading coefficient #color(blue)1#.

The factors of the constant are known as #color(red)p# and the factors of the leading coefficient are known as #color(blue)q#.

#color(red)p/color(blue)q=frac{+-1,+-7,+-49}{+-1}=+-1,+-7,+-49#