因式分解：x2-2xy-8y2-x-14y-6= 24x2-1507x-337842=

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因式分解：x2-2xy-8y2-x-14y-6= 24x2-1507x-337842=
因式分解：x2-2xy-8y2-x-14y-6= 24x2-1507x-337842=

因式分解：x2-2xy-8y2-x-14y-6= 24x2-1507x-337842=
解法一
用双十字相乘法分解
x^2-2xy-8y^2-x-14y-6
=(x^2-2xy-8y^2)-x-14y-6
=(x-4y)(x+2y)-x-14y-6
=(x-4y-3)(x+2y+2)
解法二
用待定系数法分解
x^2-2xy-8y^2-14y-6-x
=(x+ay+b)(x+cy+d)
=x^2+(a+c)xy+acy^2+(a+c)y+(b+d)x+bd
a+c=-2
ac=-8
bc+ad=-14
b+d=-1
bd=-6
a=2,b=2,c=-4,d=-1
x^2-2xy-8y^2-x-14y-6
=(x+2y+2)(x-4y-3)
--------------------
24x^2-1507x-337842
=24x^2-1513x+6x-337842
=(24x-1)(x-63)+6x-337779
=(24x-1)(x-63)+6(x-63)-337401
=(24x+5)(x-63)-337401
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