1. Divide using synthetic division, and write a summary statement in fraction form. (2 points) 2x4 - x3 - 15x2 + 3x x +3 O 2x3 - 7x2 + 6x -15 + 45 x+3 O 2x3 - 5x2 + 3 + 9 x+3 O 2x3 - 7x2 + 6x -15 + 45 x+3 O 2x3 + 5x2 + 3 + 9 x+3 2. Divide f(x) by d(x), and write a summary statement in the form indicated. f(x) = x4 + 5x3 - 2x2 + 5x - 3; d(x) = x2 + 1 (2 points) Of ( x ) = (x2 + 1)( x2 + 5x - 3) Of( x) = (x2 + 1)( x2 + 5x- 3) - 15x - 9 Of( x) = (x2 + 1)( x2 - 5x - 3) - 15x - 9 Of(x) = (x2 + 1)( x2 - 5x - 3) 3. Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2 (2 points) O -3 O 61 O 26 O -494. Use synthetic division to determine whether the number k is an upper or lower bound (as specified ) for the real zeros of the function f. k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound? (2 points) Yes O No 5. Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = 2x3 + 8x2 + 7x - 8 (2 points)