SOLUTION: F(x)= X^3-3x^2+12x-10 Find the complex zeros of the polynomial function. Write f in factored form.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: F(x)= X^3-3x^2+12x-10 Find the complex zeros of the polynomial function. Write f in factored form.       Log On


   

Question 631450: F(x)= X^3-3x^2+12x-10
Find the complex zeros of the polynomial function. Write f in factored form.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

F(x)= x^3-3x^2+12x-10    ||  x = 1 is the real solution

using synthetic Division

 1	1	-3	12	-10

 	 	 1	-2	 10

 	1	-2	10	  0

 x^2 - 2x + 10

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%282+%2B-+sqrt%28+-36+%29%29%2F%282%29+

x+=+1+%2B-+3i

f(x) = (x-1)(x -(1+3i))(x - (1-3i))