# Find the complete factorization of P(x) = x^4-2x^3+5x^2-8x+4?  the roots i found so far are : (x+2)(x-1)(x+4)  when you multipy it out, it is x^3+5x^2+2x-8. What is the last root is what i'm trying...

Find the complete factorization of P(x) = x^4-2x^3+5x^2-8x+4?

the roots i found so far are :

(x+2)(x-1)(x+4)  when you multipy it out, it is x^3+5x^2+2x-8. What is the last root is what i'm trying to figure out.

lfryerda | Certified Educator

calendarEducator since 2012

starTop subjects are Math and Science

If you have already found a factor of a polynomial, you can use synthetic division to find a polynomial that has smaller degree and shares the remaining factors of the polynomial.  In this case, let's use the factor x-1.

Then synthetic division gives:

1 | 1  -2  5  -8  4

...

(The entire section contains 127 words.)