1. A polynomialPof degree 3 with integer coefficients has zeroesx=-2,x=4, andx=3. Use the factor theorem to write the polynomial in factored form.
2. Use the factor theorem to find the polynomial of degree 3 having zeroesx=-4,x=1-i, andx=1+i. Assume a lead coefficient of 1.
3. Find a quartic polynomial (degree 4) with real coefficients having rootsx=4iandx=i3

. Assume a leading coefficient of 1.