SOLUTION: With the help of synthetic division, find the zeros of the polynomial 2x3 + 9x2 - 32x + 21.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: With the help of synthetic division, find the zeros of the polynomial 2x3 + 9x2 - 32x + 21.       Log On


   

Question 90596: With the help of synthetic division, find the zeros of the polynomial 2x3 + 9x2 - 32x + 21.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the zeros of the polynomial f(x) = 2x^3 + 9x^2 - 32x + 21.
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The coefficents add up to zro so x=1 is a zero of f(x)
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1)....2....9....-32....21
........2....11....-21...|..0
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Remainder is zero
Quotient is 2x^2+11x-21
Factor to get: (2x-3)(x+7)
x=3/2 or x=-7
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Cheers,
Stan H.