Homework 9

• Find all values of a for which the equation 4x²+ax+8x+9=0 has only one solution for x.
• Two roots of the equation x³+ax+b=0 are 2 and 3. Find the third root.
• The graph below shows a portion of the curve defined by the quartic polynomial P(x) = x⁴ + ax³ + bx² + cx + d. Which of the following is the smallest?

  (A) P(-1)
  (B) The product of the zeros of P
  (C) The product of the non-real zeros of P
  (D) The sum of the coefficients of P
  (E) The sum of the real zeros of P