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+ 6B 2x3-2x2 + 8x + 6C x2-x + 10D 2x3-x2 + 7x + 4E 2x3-x2 + 7x + 10
题目
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
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参考答案和解析
正确答案：
C
解析：
Using the given quotient and remainder, you know that f(x)=(2x+1)(x2-x+4)+6=2x3-x2+7x+10.
Using the given quotient and remainder, you know that f(x)=(2x+1)(x2-x+4)+6=2x3-x2+7x+10.