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

User Shemogumbe
by
6.5k points

1 Answer

3 votes

Answer:

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

User Marc Fischer
by
6.9k points
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