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4x4 − 29x2 + 7 find the rational zeros and irrational zeroes

1 Answer

3 votes

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

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