Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4

Question

Whats a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4

Answer 1

Multiply factors containing the 4 given roots, and then multiply by a real constant ≠ 0.

 

P₄(x) = A[x - (-1)]³ (x - 4), A ≠ 0

 

P₄(x) = A(x + 1)³(x - 4)

 

Expand, simplify, and combine like terms.  Pick any real value for A ≠ 0. 

Answer 2

(x + 1)(x + 1)(x + 1)(x - 4) = you tell me