<PRE><B>Question 193259</B>
Factor the following polynomials completely using synthetic division. 
x to the 3rd power - 5x squared + 2x + 8 
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x^3 - 5x^2 + 2x + 8
2)....1....-5....2....8
.......1.....-3...-4..|..0

Quotient: x^2 -3x -4 = 0
Factors: (x-4)(x+1)
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(x+1)(x-2)(x-4)
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X to the 4th power - 4x to the 3rd power - 13x squared + 28x + 60
x^4 - 4x^3 -13x + 28x + 60
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I graphed the function and found it has no Real Number solutions.
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Cheers,
Stan H.
</PRE>