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MATH! SYNTHETIC DIVISION EASY 10 POINTS!?

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f(x) = 2x^3 - 6x^2 + 5x + 4

SHOW WORK! THANKS!
asked Jun 27, 2013 in ALGEBRA 2 by linda Scholar

1 Answer

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Given that

image

If p/q is a rational zero, then p is a factor of 4 and q is a factor of 2.

The possible values of p are   ± 1,  ± 2, ± 4

The possible values for q are ± 1 , ± 2

By the Rational Roots Theorem, the only possible rational roots are, p/q = ± 1,   ± 2,   ±4

Make a table for the synthetic division and test possible real zeros.

       p/q

2

    -6     5

4

       1

2

     -4      1

      5

       2        2      -2      1       6
       4

2

     2     13

      56

      -1       2        -8     13       -9
      -2

2

    -10     25

 -46

       -4

2

    -14     61

-240

Therefore there is no possible rational zero for the given polynomial function.

answered Aug 31, 2013 by jouis Apprentice

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