Question 129817: I need help in determining which of the following binomials is a factor of the given polynomial
p(x)=x4+4x3+2x2-4x-3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need help in determining which of the following binomials is a factor of the given polynomial
p(x)=x4+4x3+2x2-4x-3
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Since the coefficients add up to zero, x=1 is a zero.
Use synthetic division to find other zeros:
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1)....1....4....2....-4....-3
.......1....5....7.....3...|..0
-3).....1....2....1...|..0
x=1 and x=-3 are zeros
The Remainder is x^2+2x+1
Factor to get (x+1)^2
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x = -1 with multiplicity 2 is a zero.
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ZEROS: x = -3, 1, -1, -1
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Cheers,
Stan H.
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