5.1-bo'lim : ko'phadlarni bo'lish
6. \(5{x^4} + {x^2} - 8x + 2\) ni \(x - 4\) ga bo‘lish uchun sintetik bo‘linishdan foydalaning.
Yechim
Bu erda sintetik bo'linish. Barcha raqamlarni tekshirishni sizga qoldiramiz.
\[\begin{array}{*{20}{r}}{\left. {\underline {\,4 \,}}\! \right| }\\{}\\{}\end{array}\,\,\,\,\begin{array}{*{20}{r}}5&0&1&{ - 8}&2\\{}&{20}&{80}&{324}&{1264}\\\hline5&{20}&{81}&{316}&{1266}\end{array}\]2-qadam
Unda javob shuki,
\[5{x^4} + {x^2} - 8x + 2 = \left( {x - 4} \right)\left( {5{x^3} + 20{x^2} + 81x + 316} \right) + 1266\]E'tibor bering, biz javobning faqat bitta shaklini berdik (birinchi ikkita muammodan farqli o'laroq), chunki bu ko'pincha sintetik bo'linishdan foydalanganda bizga kerak bo'lgan shakl va bu usul berish uchun sozlangan shakldir.