SOLUTION: Given that the polynomial function has the given zero, find the other zeros. f(x)=x^3-3x^2-5x+39; -3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that the polynomial function has the given zero, find the other zeros. f(x)=x^3-3x^2-5x+39; -3      Log On


   

Question 367807: Given that the polynomial function has the given zero, find the other zeros.
f(x)=x^3-3x^2-5x+39; -3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

(x^3-3x^2-5x+39)/(x+3) = x^2 -6x + 13  

x^2 - 6x + 13

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



x+=+%286+%2B-+sqrt%28-16%29%29%2F%282%29+

x+=+%286+%2B-+4i%29%2F%282%29+

x+=+%283+%2B-+2i%29