SOLUTION: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) Q(x) = x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) Q(x) = x      Log On


   

Question 1200918: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.)
Q(x) = x4 − 7x3 − 3x + 10
x =
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is the  " easy case "  of the Rational Zeros Theorem,  since the leading coefficient of the polynomial is  1  (one).

Therefore,  according to the  Rational  Zeros  Theorem,  the possible rational roots in this case
are among the divisors of  10.

So,  your list is  { +/-1, +/-2, +/-5, +/-10 }.