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代数2

课程: 代数2 > 单元 3

课程 5: 带余数的多项式除法练习
数学
代数2
多项式算术
带余数的多项式除法练习
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带余数的多项式除法

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问题

使a, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 6, x, squared, minus, 8, x, plus, 9，且b, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, plus, 2, x, cubed, plus, x, plus, 1。
用a除以b，可得到唯一的商多项式q及余数多项式r，并满足以下公式：
start fraction, a, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction, equals, q, left parenthesis, x, right parenthesis, plus, start fraction, r, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction,
且r, left parenthesis, x, right parenthesis的次数低于b, left parenthesis, x, right parenthesis的次数。
求商多项式q, left parenthesis, x, right parenthesis
q, left parenthesis, x, right parenthesis, equals
求余数多项式r, left parenthesis, x, right parenthesis
r, left parenthesis, x, right parenthesis, equals
不会做了？
不会做了？