Writing Polynomial Functions from Complex Roots Answers

If a polynomial function, f(x), with rational coefficients has roots 3 and , what must also be a root of f(x)?

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

If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?

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

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

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

Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1?

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?

Which polynomial function could be represented by the graph below?