Find the zeros of the function f(x) = x^3 + 2x^2 -25x - 50 = 0

Mathematics · Middle School · Thu Feb 04 2021

Answered on

We have, 

f(x) = x^3 + 2x^2 -25x - 50 = 0

taking common :

  x^2 (x+2) -25 (x+2) =0

  (x^2 -25) (x+2) =0

 

let, x^2 -25 =0 

x^2 =25

x = √25

x= ±5

And, let x+2 =0 

x= -2

 

Thus, zeros of f(x) = x^3 + 2x^2 -25x - 50 are +5,-5 and -2