Writing Polynomial Functions from Complex Roots Answers

Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?

If a polynomial function, f(x), with rational coefficients has roots 0, 4, and , what must also be a root of f(x)?

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

If a polynomial function f(x) has roots 4 – 13i and 5, what must be a factor of f(x)?

Which polynomial function could be represented by the graph below?

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)?