Writing Polynomial Functions from Complex Roots Answers

A polynomial function that has roots 1 and 3 + i.The complex conjugates theorem states that must also be a root.

The polynomial function of least degree with a leading coefficient of 1 is:f(x) = x3 + Ax2 + Bx + CA =

B =

C =

Write the 4th degree polynomial function shown by the graph.The factors of the polynomial functions are .

Use the fact that the graph passes through (0,36) to find the coefficient a in f(x) = a(x + 3)(x + 1)(x - 2)(x – 3) a=