Question: Cant seem to understand this example question ------------------------------------------------- Let p(x) = 2x 4 - 9x 3 + 19x - 12 If a/b is a rational

Cant seem to understand this example question

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Let p(x) = 2x4 - 9x3 + 19x - 12

  1. If a/b is a rational root of the equation p(x) = 0, what are the possible values for a and b?
  2. Find a factor for p, and then write p(x) = (x-a)(qx3 + rx2 + sx + t), for appropriate values of a and q through t
  3. Use the result from the previous parts to find all zeroes of p
  4. Without using calculus, make a sketch of p
  5. Solve the inequality p(x) < 0

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