Find a polynomial of minimum degree that has zeros -4, 0 (multiplicity 3) and 1. A) y = x⁵ + 3x⁴ - 4x³ B) y = x² - 3x - 4 C) y = x⁵ - 3x⁵ - 4x³ D) y = x² + 3x - 4x

Question

Quizplus · Accepted Answer

The polynomial of minimum degree with zeros -4, 0 (multiplicity 3), and 1 is given by $y = (x + 4)(x - 0)^3(x - 1)$. This expands to a polynomial of degree 5, which matches the degree in option A, indicating it is the correct choice.

Find a Polynomial of Minimum Degree That Has Zeros -4