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85问答库 > 数学课上老师出了一道因式分解的思考题，题意是x2+2mx+16能在有理数的范围内因式分解，则整数m的值有几个

数学课上老师出了一道因式分解的思考题，题意是x2+2mx+16能在有理数的范围内因式分解，则整数m的值有几个

2025-04-07 06:57:51

推荐回答（1个）

回答1：

∵4×4=16，（-4）×（-4）=16，2×8=16，（-2）×（-8）=16，1×16=16，（-1）×（-16）=16，
∴4+4=2m，-4+-4=2m，2+8=2m，-2-8=2m，1+16=2m，-1-16=2m，
分别解得：m=4，-4，5，-5，8.5，-8.5；
∴整数m的值有4个，
故选：A．

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