分解因式:7(x-1)²+4(x-1)-20

问题描述:

分解因式:7(x-1)²+4(x-1)-20

原式=[7﹙x-1﹚-10][﹙x-1﹚+2]=﹙7x-17﹚﹙x+1﹚

[(x-1)+2][7(x-1)-10]
=(x+1)(7x-17)


将x-1看成一个整体,然后十字相乘
1 2
7 -10
∴ 7(x-1)²+4(x-1)-20
=[(x-1)+2]*[7(x-1)-10]
=(x+1)(7x-17)