Question

Determine the number of zeros in the polynomial function f(x)=x^4-4x

Answer 1

the polynomial function has 2 zeros

Explanation:

f(x) = 0

⇔ x⁴ - 4x = 0

⇔ x³ × (x) - 4 × (x) = 0

⇔ x × (x³ - 4) = 0

⇔ x = 0 or x³ - 4 = 0

⇔ x = 0 or x³ = 4

`\Leftrightarrow x = 0\ \ or \ \ x=\sqrt[3]{4}=1.587401051968`