(x²+5x+6)(x²+5x-2)+16
=(x²+5x)²+4(x²+5x)-12+16
=(x²+5x)²+4(x²+5x)+4
=(x²+5x+2)²还未分解完吧有理数域的分解已结束,继续分解就要用到无理数了。
=[x²+5x+(5/2)²-25/4+8/4]²
=[(x+5/2)²-17/4]²
=[(x+5/2)+√17/2]²[(x+5/2)-√17/2]²
=[x+5/2+√17/2]²[x+5/2-√17/2]²
=[x+(5+√17)/2]²[x+(5-√17)/2]²
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