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

x-1

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 (1,2,3,4,6,12)/(1) \\\\(1)/(1); root`

Now we know one root:

`(x-1)(x^(5) + 4x^(3) - 17x + 12)/(x-1)`

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