Question

Find the zeros of polynomial functions and solve polynomials equations. f(x)=x^3-64

Answer 1

we are given

$f(x)=x^3-64$

Since, we have to find zeros

so, we can set f(x)=0

and then we can solve for x

$f(x)=x^3-64=0$

$x^3-64=0$

We will add both sides 64

$x^3-64+64=0+64$

$x^3=64$

Take cube root both sides

$\sqrt[3]{x^3} =\sqrt[3]{64}$

$x=4$...........Answer