# How do you list all possible rational roots for each equation, use synthetic division to find the actual rational root, then find the remaining 2 roots for #2x^3-7x^2-46x-21=0#?

##### 1 Answer

#### Answer:

Assume that one of the rational roots is integer;

then perform synth.div for each integer root of

Final answer: roots

#### Explanation:

The integer factors of

Performing the synthetic division with

for each

We notice that synthetic division of

by

So

We can then factor

So

and

the roots are:

(the roots are the values of