volume_mute
Maximum Zeros of a Polynomial
publish date: 2026/05/23 05:12:49.395364 UTC
volume_mutePlease drag and drop the options to sort them
Sort the following polynomial types in ascending order based on the maximum number of zeros they can have.
Quartic (degree 4)
Linear (degree 1)
Cubic (degree 3)
Quadratic (degree 2)
Correct Answer
(1) Linear (degree 1)
(2) Quadratic (degree 2)
(3) Cubic (degree 3)
(4) Quartic (degree 4)
Explanation
The Fundamental Theorem of Algebra states that a nonzero polynomial of degree \(n\) has at most \(n\) real roots (zeros). Linear: at most 1, Quadratic: at most 2, Cubic: at most 3, Quartic: at most 4.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012