1. Determine the end behavior of the following polynomial functions. (a) P(x) = 4x5 - 3x4 + 9x2 + 10 (b) Q(x) = -326 +80 (c) Z(x) = 93 + 6x2 - 5x + 8 2. Find the quotient and remainder using synthetic division. (a) 24- x3 +x2 - x+2 - 2 (b) T' + 3x3 - 6 r+1 3. Find all real roots of the given polynomials, using the quadratic formula if necessary. Then write the polynomial in factored form. (a) f(x) = 23 -5x2 + 2x + 12 (b) g(x) = 4x3 - 6x2 + 1 4. Show that the polynomial P(x) = 2x4 - x3 + x + 2 does not have any rational roots