(1 point) A degree 4 polynomial with integer coefficients has zeros - 2- 41 and 1, with 1 a zero of multiplicity 2. If the coefficient of x 4 is 1. then the polynomial is (1 point) Find an equation for f(x), the polynomial of smallest degree with real coefficients such that f(x) bounces off of the x-axis at 1, bounces off of the x-axis at -2, has complex roots of 4-i and -2+i and passes through the point (0,22) f(x)= (1 point) Find a polynomial with integer coefficients, with leading coefficient 1, degree 5, zeros i and 4-i, and passing through the origin. P(x)=_ (1 point) Write the equation of a polynomial with real coefficients that has roots at +23 and -1-6i that passes through the point (0, 158) y=_ (1 point) The polynomial p(x)-x 4 6x 3+15x 2-18x-10 four complex roots. One of them is x-1+i. This immediately tells you another root, namely The other complex roots are Note: give your answer as a list of complex numbers, such as 3-41, 5+i, (1 point) The polynomial p(x)-36x 4-108x 3+245x 2-432x-404 has four complex roots. One of them is x-2i This immediately tells you another root namely The other complex roots are ! Note: give your answer as a list of complex numbers, such as 3-4i, 5+i