How do you use the rational root theorem to find the roots of #314x^3+1099x^2-1413#?

1 Answer

Answer:

The roots are #1,-3,-3/2#

Explanation:

You can use the rational root theorem as follows

1)Find all the factors of the constant term.In our case is -1413
2)Among these factors there are possible roots of the polynomial

Hence we have that the divisors of 1413 are

#1,3,9,157,471,1413#

Hence by error and trial we find the roots and write the polynomial as

#314x^3+1099x^2-1413=157(x-1)(x+3)(2x+3)#