Writing Polynomial Functions from Complex Roots Answers

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?

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

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

If a polynomial function, f(x), with rational coefficients has roots 0, 4, and , what must also be a root 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 3 and roots –4, i, and 2, all with multiplicity 1?

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

Which polynomial function could be represented by the graph below?