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.

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