SOLUTION: 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

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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