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主要内容

带余数的多项式除法

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
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,
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?