SOLUTION: Please help w/ the following: Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of : f(x)= 2x^4-14x^3+22x^2+14

Algebra ->  Systems-of-equations -> SOLUTION: Please help w/ the following: Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of : f(x)= 2x^4-14x^3+22x^2+14      Log On


   



Question 62520: Please help w/ the following:
Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of :
f(x)= 2x^4-14x^3+22x^2+14x-24?
Thank You.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of :
f(x)= 2x^4-14x^3+22x^2+14x-24?
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-2 )2 -14 22 14 -24
2 -18 58 -102 +180
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-1 )2 -14 22 14 -24
2 -16 38 -24 0
Therefore a zero between x=-2 and x=0;
the zero is at x=-1
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0 ) 2 -14 22 14 -24
f(0)=-24
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1 )2 -14 22 14 -24
2 -12 10 24 0
Therefore a zero between x=0 and x=2;
the zero is at x=1
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There is another zero at x=3 and another
at x=4.
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I'll let you state the lower and upper bounds.
Cheers,
Stan H.