已知多项式ax的三次方+bx的二次方+cx+d被x的平方+p整除.求证:ad=bc
人气:489 ℃ 时间:2019-08-21 07:44:47
解答
根据题意
ax³+bx²+cx+d=(mx+n)*(x²+p)
=mx³+nx²+mpx+pn
m=a b=n c=mp d=pn
ad=mnp bc=mnp
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