Задание
Разделите многочлен \(\displaystyle 42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6\) на многочлен \(\displaystyle 7x-2\) в столбик:
\(\displaystyle -\) | \(\displaystyle \phantom{\,\,}42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6\) | \(\displaystyle 7x-2\) | |||||
[ ] |
[ ] | ||||||
\(\displaystyle \phantom{x^{\,4}\,} -\) |
[ ] | ||||||
[ ] | |||||||
\(\displaystyle \phantom{ 31x^{\,3}1} -\) |
[ ] | ||||||
[ ] | |||||||
\(\displaystyle \phantom{ xx\,} -\) |
[ ] | ||||||
[ ] | |||||||
\(\displaystyle 0\) |
Найдите недостающий множитель в разложении:
\(\displaystyle 42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6=(7x-2) \cdot (\)[ ]\(\displaystyle ).\)