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Divide using synthetic division, and write a summary statement in fraction form. three x to the fifth plus four x to the fourth plus two x squared minus one divided by quantity x plus two.

Respuesta :

We want to use synthetic division to evaluate
[tex] \frac{3x^{5}+4x^{4}+2x^{2}-1}{x+2} [/tex]

Note that all coefficients of the 5-th order polynomial are required for synthetic division.

-2 | 3   4   0   2    0   -1
          -6   4  -8   12 -24
    ----------------------------
      3  -2   4  -6  12 -25

Answer:
[tex] \frac{3x^{5}+4x^{4}+2x^{2}-1}{x+2} =3x^{4}-2x^{3}+4x^{2}-6x+12- \frac{25}{x+2} [/tex]



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