Question

Write a polynomial of least degree with roots 0, 4, and 9

Answer 1

Your Polynomial:
`x^3-13x^2+36x=0`

Explanation:

Given information: 0 , 4 , 9

0 -> x = 0 -> (x - 0) = 0

4 -> x = 4 -> (x - 4) = 0

9 -> x = 9 -> (x - 9) = 0

(x - 0)(x - 4)(x - 9) = 0

x * (x - 4) * (x - 9) = 0

(x^2 - 4x) * (x - 9) = 0

x^3 - 9x^2 - 4x^2 + 36x = 0