Question

PLEASE HELP DO NOT UNDERSTAND THANKS
Find a polynomial function f(x) of the indicated degree with integer coefficients that possesses the given rational zeros
degree=4; zeros= -3, 1/2,1,2

Answer 1

Let a, b, c be the roots.
factored form: f(x)=k(x-a)(x-b)(x-c) with k being a constant.
You can add extra roots (like p) by tacking an extra factor (like (x-p) ) to the end.
You can manipulate the degree by raising one of the roots to an exponent. .

Answer 2

so k would be 4 in this case correct?

Answer 3

degree 4 means there are 4 roots to the function there fore you want to end up with x^4
K is just a constant as blake said, blake also said you can add an extra factor (x-p)
which would give
f(x)=k(x-a)(x-b)(x-c)(x-p)
or you can have a repeated root which is his point of manipulating