SOLUTION: What is the complete factorization of the polynomial function over the set of complex numbers? {{{ f(x) = x^3 - 5x^2 + 4x - 20 }}} The equation and answer is in the link he

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the complete factorization of the polynomial function over the set of complex numbers? {{{ f(x) = x^3 - 5x^2 + 4x - 20 }}} The equation and answer is in the link he      Log On


   

Question 1127961: What is the complete factorization of the polynomial function over the set of complex numbers?
+f%28x%29+=+x%5E3+-+5x%5E2+%2B+4x+-+20+

The equation and answer is in the link here: https://prnt.sc/le58gf
Is my answer correct? I'm not sure.
Found 3 solutions by greenestamps, ikleyn, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Your answer is right... but you don't need to ask us, or anybody else.

What do you get when you multiply your three factors together?

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Factor the given polynomial using the grouping method


x%5E3+-+5x%5E2+%2B+4x+-+20 = %28x%5E3+-+5x%5E2%29 + 4x+-+20%29 = x%5E2%2A%28x-5%29 + 4%2A%28x-5%29 = %28x%5E2%2B4%29%2A%28x-5%29 = %28x-2i%29%2A%28x%2B2i%29%2A%28x-5%29.



Same as your answer.


Your answer is correct !


My congrats ! !


Answer by josgarithmetic(39618) About Me  (Show Source):