Respuesta :
Answer: (x - 1)^2 (x^3 + 2x^2 + 7x + 12)
Step-by-step explanation: Factor x^5 + 4x^3 - 17x + 12 over the complex numbers
Hope this helps! :) `Zane
Answer:
x-1
Step-by-step explanation:
We apply the rational root theorem to find the a root:
[tex]a_{0}=12;a_{n}=1\\[/tex]
Now, the divisors:
[tex]a_{0}:1,2,3,4,6,12\\a_{n}:1[/tex]
Now we verify each divisor:
[tex]\pm \frac{1,2,3,4,6,12}{1} \\\\\frac{1}{1}; root[/tex]
Now we know one root:
[tex](x-1)\frac{x^{5} + 4x^{3} - 17x + 12}{x-1}[/tex]
Giving the final answer that one linear factor is x-1