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oksano4ka [1.4K]
3 years ago
11

Divide using long division.

x%5E2-3x-5%7D" id="TexFormula1" title="\frac{-3x^5+11x^4+33x^3-26x^2-36x-6}{x^3+6x^2-3x-5}" alt="\frac{-3x^5+11x^4+33x^3-26x^2-36x-6}{x^3+6x^2-3x-5}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

Step-by-step explanation:

x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150

                   -3x⁵-18x⁴+9x³+15x²

                  -------------------------------

                        29x⁴+24x³-41x²-36x-6

                      29x⁴+174x³-87x²-145x

                    ------------------------------------

                             -150x³+46x²+109x-6

                             -150x³-900x²+450x+750

                            --------------------------------------

                                        946x²-341x -756

Therefore

-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756

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