单选题When f(x) is divided by 2x + 1, the quotient is x2-x+ 4 and the remainder is 6. What is f(x)?A2x3-x2 + 9x+ 6B2x3-2x2 + 8x + 6Cx2-x + 10D2x3-x2 + 7x + 4E2x3-x2 + 7x + 10

单选题
When f(x) is divided by 2x + 1, the quotient is x2-x+ 4 and the remainder is 6. What is f(x)?
A

2x3-x2 + 9x+ 6

B

2x3-2x2 + 8x + 6

C

x2-x + 10

D

2x3-x2 + 7x + 4

E

2x3-x2 + 7x + 10


参考解析

解析:
Using the given quotient and remainder, you know that f(x)=(2x+1)(x2-x+4)+6=2x3-x2+7x+10.

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