Question 201857: Identify all rational zeros for f(x) = x3 + 4x2 - 3x - 18
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! y= x^3 +4x^2 -3x -18,,,,factors p/q = +/- 1,18,2,9,3,6, (factors 1st and last term)
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use synthetic division ( or regular division) to define factors
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,,,-3,,,,1,,,,4,,,,-3,,,,-18
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,,,,,,,,,,,,,,-3,,,-3,,,,,+18
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,,,,,,,,,1,,,,1,,,,-6,,,,0,,,,,,,,,therefore (x+3) is factor,,,x=-3 is zero
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remainder is,,,,1x^2 +1x -6,,,,,,which factors to
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( x+3)(x-2)
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final factors are (x+3)(x+3)(x-2),,,,zeros are x= -3,-3,+2
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check by multiplying all factors together,,,ok
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If graphing calc is available, input eqn and review graph.
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