SOLUTION: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. s(x)=x4+4x3−64x−256; x+4 s(x)=

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. s(x)=x4+4x3−64x−256; x+4 s(x)=      Log On


   

Question 1058686: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.
s(x)=x4+4x3−64x−256; x+4
s(x)=
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.
s(x)=x^4+4x^3−64x−256; x+4
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Using synthetic division::
-4)....1....4....0....-64....-256
.......1....0....0....-64...|..0
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s(x) = (x+4)(x^3-64)
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s(x) = (x+4)(x-4)(x^2 + 4x + 16)
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Cheers,
Stan H.
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s(x)=