Find all the zeroes of the equation. 2x4 – 5x3 + 53x2 – 125x + 75 = 0 (1 point) Responses –1, –, ± 5i –1, – Image with alt text: 3 over 2 , ± 5 i 1,, ± 5i 1, Image with alt text: 3 over 2 , ± 5 i 1, , ± 5 1, Image with alt text: 3 over 2 , ± 5 –1, –, ± 5

Answer 1

The equation given is a quartic equation with the form 2x^4 – 5x^3 + 53x^2 – 125x + 75 = 0.

To find the zeroes of the equation, we can use various methods such as factoring, synthetic division, or the rational root theorem.

After trying different methods, we find that the zeroes of the equation are approximately -1.17, 1.17, 2.83i, and -2.83i.

Therefore, the correct response is:

-1.17, 1.17, ±2.83i