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Find zeros of polynomials

p(x)=x58x43x2+24xp(x)=x^5-8x^4-3x^2+24x
Find all the real number roots of pp and answer the following questions.
How many distinct, real number roots does pp have ?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
What is the smallest real root of p p\ ?
Give your answer using exact terms.