How do you find zeros of f(x)=x^3-16x?

1 Answer
Nov 10, 2016

The zeros are x_1=0, x_2=-4 and x_3=4. See explanation

Explanation:

To find the zeros we have to solve the equation:

x^3-16x=0

x^3-16x=0

x*(x^2-16)=0

x*(x-4)*(x+4)=0

The product of expressions is zero if any of expressions is zero:

x=0 vv x-4=0 vv x+4=0

x=0 vv x=4 vv x=-4

Finaly we can write that the equation has 3 solutions:

x_1=-4, x_2=0 and x_3=4