<PRE><B>Question 550005</B>
f(X)=2X^4-X^3-23X^2+46X-24 
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The coefficients add up to zero, so x = 1 is a root:
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Use synthetic division to help find the 2 remaining roots:
1)...2....-1....-23.....46.....-24
......2.....1.....-22....24....|..0
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Quotient: 2x^3+x^2-22x+24
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I graphed the cubic and found a zero at x = 3/2
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(3/2))....2....1....-22....24
...........2....4.....-16...|0
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Quotient: 2x^2+4x-16
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Factor:
= 2(x^2+2x-8)
= 2(x+4)(x-2)
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The roots are 1, 3/2 , 2 , -4
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Cheers,
Stan H.
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