Answer:
B) +/- 1, +/-2, +/- , +/-, +/-
Step-by-step explanation:
Definition of Rational Zero Theorem.
If P(x) is a polynomial with integer coefficients and if p/q is a zero of P(x) P(p/q) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).
We are given the polynomial f(x) = 6x^4 - 3x^2 + 2
Here the constant term is 2 and the leading coefficient is 6.
Now find the factors of 2 and 6.
Factors of 2: 1, -1, 2, -2
Factors of 6: 1, -1, 2, -2, 3, -3, 6, -6
Possible values of p/q is
+/-1, +/-2, +/- 1/2, +/-1/3, +/- 1/6, +/-2/3
The answer is B) +/- 1, +/-2, +/- , +/-, +/-
Thank you.