1.已知X^6+2X^5+3X^4-8X^3-9X^2-10X+25为完全平方式,用待定系数法,求平方根.2.分解因式:6X^2-7XY+Y^2+8X-3Y+2

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1.已知X^6+2X^5+3X^4-8X^3-9X^2-10X+25为完全平方式,用待定系数法,求平方根.2.分解因式:6X^2-7XY+Y^2+8X-3Y+2
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1.已知X^6+2X^5+3X^4-8X^3-9X^2-10X+25为完全平方式,用待定系数法,求平方根.2.分解因式:6X^2-7XY+Y^2+8X-3Y+2
1.已知X^6+2X^5+3X^4-8X^3-9X^2-10X+25为完全平方式,用待定系数法,求平方根.
2.分解因式:6X^2-7XY+Y^2+8X-3Y+2

1.已知X^6+2X^5+3X^4-8X^3-9X^2-10X+25为完全平方式,用待定系数法,求平方根.2.分解因式:6X^2-7XY+Y^2+8X-3Y+2
1.
设X^6+2X^5+3X^4-8X^3-9X^2-10X+25=(ax^3+bx^2+cx+d)^2
不妨令a=1,
则由五次方系数知b=1
由四次方系数知2c+1=3,知c=1
再由一次方系数知d=-5
其他次方系数可以验证计算的正确性.
2.
6X^2-7XY+Y^2+8X-3Y+2=(6x-y+2)(x-y+1)

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