Question

find a polynomial function with integer coefficients that has the given zeros.
2, 4+i, 4-i

Answer 1

If a, b and c are the zeroes of the polynomial, then the polynomial is given by:

\[(x-a)(x-b)(x-c) = 0\]

Use this concept to find the polynomial..

Answer 2

since x=2,x=4+i and x=(4-i) satisfy the req polynomial,
then (x-2)(x- (4+i)) (x- (4-i)) =0
just expand LHS

alternative can be assume the eqn to be x^3 + px^2 + qx + r =0
then sum of roots = -p
product of roots in pairs of 2 = q
product of roots = -r
try now..

Answer 3

i set it up already. i need help multiplying it together :p

Answer 4

wolfram alpha might help you then..hmm