Question

Find all the rational zeros of the given polynomial function
x^4 + 2x^3 - 6x^2 - 14x -7
THANKS

Answer 1

if you factor the polynomial out, you can see that the roots are -1, +-sqrt(7). but since the root of any prime is irrationnal (see algebra thm), then you are only in need of x=-1

Answer 2

thakns, that makes sense now!