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| Question 764521:   can you help with this problem please? this is the RATIONAL ROOT THEOREM
 find all zeros of f(x)
 f(x)=x^4-4x^3-7x^2+28x
 Hint: first factor out an x, then get the p/q list
 keep answers in FRACTIONAL form. list your answers from smallest to largest.
 help me please! i don't fully understand this
 Answer by rothauserc(4718)
      (Show Source): 
You can put this solution on YOUR website! first factor out the x and we get x(x^3-4x^2-7x+28) = 0
 The Rational Root Theorem says we must factor the x^3 coefficient and 28
 The x^3 coefficient is 1 so its factors are + or minus 1, so q could= +or-1
 The factors of 28 are 1,2,4,7,28, so p could = +or-1, +or-2, +or-4, +or-7, +or-28
 so p/q = +or-1/1, +or-2/1, +or-4/1, +or-7/1, +or-28/1
 
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