ແກ້ x^2+x-6div(x^2+1)(x-1) | ແກ້ໄຂ x^2+x-6div(x^2+1)(x-1)

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Polynomial

5 ບັນຫາທີ່ຄ້າຍຄືກັນກັບ:

ບັນຫາທີ່ຄ້າຍຄືກັນຈາກWeb Search

https://socratic.org/questions/how-do-you-use-the-remainder-theorem-and-synthetic-division-to-find-the-remainde-5

https://socratic.org/questions/how-do-you-divide-x-4-5x-2-6-div-x-2-6

https://socratic.org/questions/how-do-you-find-the-remainder-for-2x-2-x-6-div-x-2

https://socratic.org/questions/how-do-you-find-the-value-of-so-that-the-remainder-is-zero-of-x-2-kx-6-div-x-1

ແບ່ງປັນ

ສໍາເນົາຄລິບ

x^{2}+x-\frac{6\left(x-1\right)}{x^{2}+1}

ສະແດງ \frac{6}{x^{2}+1}\left(x-1\right) ເປັນໜຶ່ງເສດສ່ວນ.

x^{2}+x-\frac{6x-6}{x^{2}+1}

ໃຊ້ຄຸນສົມບັດການແຈກແຈງເພື່ອຄູນ 6 ດ້ວຍ x-1.

\frac{\left(x^{2}+x\right)\left(x^{2}+1\right)}{x^{2}+1}-\frac{6x-6}{x^{2}+1}

ເພື່ອເພີ່ມ ຫຼື ຫານນິພົດ, ໃຫ້ຂະຫຍາຍພວກມັນເພື່ອໃຫ້ຕົວຄູນມີຈຳນວນດຽວກັນ. ຄູນ x^{2}+x ໃຫ້ກັບ \frac{x^{2}+1}{x^{2}+1}.

\frac{\left(x^{2}+x\right)\left(x^{2}+1\right)-\left(6x-6\right)}{x^{2}+1}

ເນື່ອງຈາກ \frac{\left(x^{2}+x\right)\left(x^{2}+1\right)}{x^{2}+1} ແລະ \frac{6x-6}{x^{2}+1} ມີຕົວຫານດຽວກັນ, ໃຫ້ຫານພວກມັນໂດຍການຫານຈຳນວນທີ່ເປັນເສດໃນເລກເສດສ່ວນຂອງພວກມັນ.

\frac{x^{4}+x^{2}+x^{3}+x-6x+6}{x^{2}+1}

ຄູນໃນເສດສ່ວນ \left(x^{2}+x\right)\left(x^{2}+1\right)-\left(6x-6\right).

\frac{x^{4}+x^{2}+x^{3}-5x+6}{x^{2}+1}

ຮວມຂໍ້ກຳນົດໃນ x^{4}+x^{2}+x^{3}+x-6x+6.