Question

Which of the following is a linear factor of x5 + 4x3 - 17x + 12?

a 2x + 3
b 2x - 1
c x – 1
d x + 1

Answer 1

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 2

Answer:

x-1

Step-by-step explanation:

We apply the rational root theorem to find the a root:

$a_{0}=12;a_{n}=1$

Now, the divisors:

$a_{0}:1,2,3,4,6,12\\a_{n}:1$

Now we verify each divisor:

$\pm \frac{1,2,3,4,6,12}{1} \\\\\frac{1}{1}; root$

Now we know one root:

$(x-1)\frac{x^{5} + 4x^{3} - 17x + 12}{x-1}$

Giving the final answer that one linear factor is x-1