SOLUTION: Find the complex zeros of the polynomial function. Write f in factored form. f(x)=x^3-5x^2+9x-5 Use the complex zeros to write f in factored form. f(x)= reduce fractions an

Algebra ->  Test -> SOLUTION: Find the complex zeros of the polynomial function. Write f in factored form. f(x)=x^3-5x^2+9x-5 Use the complex zeros to write f in factored form. f(x)= reduce fractions an      Log On


   



Question 628004: Find the complex zeros of the polynomial function. Write f in factored form.
f(x)=x^3-5x^2+9x-5
Use the complex zeros to write f in factored form.
f(x)=
reduce fractions and simplify roots.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
f(x)=x^3-5x^2+9x-5 | x = 1 is a solution
Using synthetic division
1 1 -5 9 -5
1 -4 5
1 -4 5 0
f(x) = (x-1)(x^2 - 4x + 5}
x^2 - 4x + 5
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%284+%2B-+sqrt%28+-4%29%29%2F%282%29+
x+=+%284+%2B-+2i%29%2F2+
x+=+2+%2B-+i+