Find the polynomial of degree

Question

find the polynomial of degree n that has only the given zero(s).

x=-4,1,3; n =4

I've gotten this answer twice and the assignment (JUST HOMEWORK) is saying it's incorrect, i thought maybe I typed it incorrectly but I've put the exact answer in twice.

PLEASE HELP!

x^4+4x^3-13x^2+40x+48

Answer 1

When I plot your answer, the zeros are not correct.

With the zeros given, 3 factors would be (x+4)(x-1)(x-3) But this is only degree 3, yours has to be degree 4. So you need to repeat ONE of these factors to make it degree 4.

Example: (x+4)(x-1)(x-3)² Multiply it out to get the answer.