Question

What are the possible rational zeros of f(x) = x4 - 4x3 + 9x2 + 5x + 14? A.) ± 1, ± 1 over 2, ± 1 over 7, ± 1 over 14 B.) ± 1, ± 2, ± 7, ± 14 C.) ± 1, ± 1 over 4,± 1 over 5, ± 1 over 9, ± 1 over 14. D.) ± 1, ± 4, ± 5, ± 9, ± 14.

Answer 1

Base on my calculation and further simplification about the function and getting its possible rational zero of the function, I came up with an answer of letter B. I hope you are satisfied with my answer and feel free to ask for more if you have more clarification and question

Answer 2

`f(x) = x^4 - 4x^3 + 9x^2 + 5x + 14\\\\14:\{\pm1;\ \pm2;\ \pm7;\ \pm14\}\\1:\{\pm1\}\\\\Answer:\boxed{\{\pm1;\ \pm2;\ \pm7;\ \pm14\}}`