Question

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.)

T(x) = 9x4 − 3x2 − 7

Answer 1

The rational zeros theorem states that all possible rational zeros of a polynomial with integer coefficients are of the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

In this case, the constant term is -7 and the leading coefficient is 9. Thus, the possible rational zeros are:

p/q = ±1, ±7, ±9