92.8k views
2 votes
Write a polynomial equation of least degree with roots 2, -1 and 4.

User Lamine
by
8.0k points

1 Answer

6 votes
A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.
User Brian Noguchi
by
8.4k points