Find a polynomial f(x) of degree 4 that has the following zeros. 9, 2, 0, -4

Question

f(x)= 

Answer 1

Express f(x) as a product of factors containing the zeros.

 

f(x) = A(x - 9)(x - 2)(x - 0)[x - (-4)],

 

where A is any real number ≠ 0.  You can expand f(x) into standard form if you wish.