问题
选择题
若(x2+x-1)(px+2)的乘积中,不含x2项,则p的值是( )
A.1
B.0
C.-1
D.-2
答案
(x2+x-1)(px+2)
=px3+2x2+px2+2x-px-2
=px3+(2+p)x2+(2-p)x-2,
∵(x2+x-1)(px+2)的乘积中,不含x2项,
∴2+p=0,
p=-2,
故选D.
若(x2+x-1)(px+2)的乘积中,不含x2项,则p的值是( )
A.1
B.0
C.-1
D.-2
(x2+x-1)(px+2)
=px3+2x2+px2+2x-px-2
=px3+(2+p)x2+(2-p)x-2,
∵(x2+x-1)(px+2)的乘积中,不含x2项,
∴2+p=0,
p=-2,
故选D.