问题
选择题
已知y2-7y+12=(y+p)(y+q),则p,q的值分别为( )
A.3,4或4,3
B.-3,-4或-4,-3
C.3,-4或-4,3
D.-2,-6或-6,-2
答案
(y+p)(y+q)=y2+(p+q)y+pq,
∵y2-7y+12=(y+p)(y+q),
∴y2-7y+12=y2+(p+q)y+pq,
∴p+q=-7,pq=12,
解得,p=-3,q=-4或p=-4,q=-3.
故选B.