SOLUTION: Find the polymonial function that has the given zeros. 2, 4+ square root 5, 4- square root of 5 I started out with this f(x)= (x-2)(x- 4+ or - square root of 5), but now I am

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the polymonial function that has the given zeros. 2, 4+ square root 5, 4- square root of 5 I started out with this f(x)= (x-2)(x- 4+ or - square root of 5), but now I am      Log On


   



Question 361248: Find the polymonial function that has the given zeros.
2, 4+ square root 5, 4- square root of 5
I started out with this f(x)= (x-2)(x- 4+ or - square root of 5), but now I am stuck.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)(x-(4+sqrt(5))(x-(4-sqrt(5))
=(x-2)(x+sqrt(5)-4)(x-sqrt(5)-4)
=(x-2)(x^2-8x+11)
=x^3-10x^2+27x-22
.
Ed