Answer:
±1/4, ±7/4, ±1/2, ±7/2, ±1, and ±7
Explanation:
To find the rational and irrational zeros of 4x^4 − 29x^2 + 7, we can use the Rational Roots Theorem to find the possible rational roots of the polynomial
The constant term of 4x^4 − 29x^2 + 7 is 7, which has factors of ±1 and ±7. The leading coefficient is 4, which has factors of ±1 and ±4. Therefore, the possible rational roots are: ±1/4, ±7/4, ±1/2, ±7/2, ±1, and ±7