已知多項(xiàng)多項(xiàng)式2x3-4x2-1除以多項(xiàng)式A得商式為2x,余式為x-1,則多項(xiàng)式A為_.
已知多項(xiàng)多項(xiàng)式2x3-4x2-1除以多項(xiàng)式A得商式為2x,余式為x-1,則多項(xiàng)式A為______.
優(yōu)質(zhì)解答
根據(jù)題意得:
2x
3-4x
2-1÷A=2x…x-1,
∴A=[2x
3-4x
2-1-(x-1)]÷2x,
A=x
2-2x-
.
故答案為:x
2-2x-
.
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