(1 point) The polynomial p(x)-4x 3-16x 2+21x-27 has the real root x-Band complex roots Note: give your answer as a list of complex numbers, such as 3-4i, 5+i. Hint Divide pp by (x-3)(x-3). (1 point) One solution of the the equation p(x)-x"4-9x 3+30x/2-33x-13=0 is x-3-2i The equation also has two real solutions. The smaller is, and the larger is Hint: Figure out a suitable quadratic factor and divide pp by that factor (1 point) The equation X 4-9x 3+31x 2-49x+30-0 has the conjugate complex pair of solutions x-2+i equation also has two real solutions. The smaller is , and the larger is Hint: Apply the result obtained in the previous problem and divide pp by the quadratic factor obtained there. (1 point) Suppose the solutions of a quadratic equation p(x)=0 are x-2=1. Then that quadratic equation can be written as p(x) x 2- Hint: Think of p(x) as (x- (2-1))(x-(2+i)). (1 point) Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -4, -3i, and 3i Simplify your answer so that it has only real numbers as coefficients. Your answer is