SOLUTION: Write f(x)=x^4-12x^3+59x^2-138x+130 as a product of linear factors. The answer should be (x-3+i)(x-3-i)(x-3+2i)(x-3-2i). I did the Rational Zero Theorem but none of those numbers

Question 825735: Write f(x)=x^4-12x^3+59x^2-138x+130 as a product of linear factors.
The answer should be (x-3+i)(x-3-i)(x-3+2i)(x-3-2i). I did the Rational Zero Theorem but none of those numbers worked, therefore i guess that the above is the right answer but I don't know how to solve it.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
I just did this problem for another poster. But that problem included a given root: 3 + i. The problem is, IMHO, not solvable unless they give you one of the roots because, as you found, none the possible rational roots are actual roots.

Click here to see the solution to the problem when given a root.

P.S. f(x) is not a rational function. So you posted this in the wrong category. "Polynomials" is the correct category for this problem. In the future, post your problems in an appropriate category. It will get a faster response.
RELATED QUESTIONS
Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ikleyn)

Find all zeros of the function and write the polynomial as a product of linear factors.... (answered by KMST,ikleyn)

i and -2i are two zeros of {{{p(x)=x^6-2x^5+2x^4-10x^3-11x^2-8x-12}}}. Find the other... (answered by solver91311)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ewatrrr)

write the polynomial function f(x)= x^5+x^3+2x^2-12x+8 as the product of linear... (answered by KMST)

How do I find the zeros of f(x) and also how do I factor f(x) to make it as a product of... (answered by josgarithmetic)

Hi. Use the given zero to find the remaining zeros of each function.... (answered by ewatrrr,richwmiller)

Find all zeros of the polynomial function. f(x)=x^3-5x^2-4x+60 ANSWER CHOICES... (answered by richwmiller)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by stanbon)