設 a 為常數。若 2x³ − ax² − 2x + 3 可被 2x − a 整除,求 a 的值。

章節練習 5.3

Quiz
•
Mathematics
•
9th - 12th Grade
•
Hard
mathematics Aristo
FREE Resource
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A. 0
B. 1
C. 2
D. 3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
設 b 為常數。若 4x³ + 2x² + bx − 1 可被 2x + 1 整除,求 b 的值。
A. 1
B. 0
C. −1
D. −2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
設 f(x) = x¹⁰ − 2x² + x − k ,其中 k 為常數。 若 f (x) 可被 x − 1 整除,求 f (x) 除以 x + 1 的餘數。
A. −2
B. −1
C. 1
D. 2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
若多項式 g(x) 可被 x − 4 整除,則 g(x − 4) 可被下列何者整除?
A. x
B. x + 4
C. x − 8
D. x + 8
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
設 f(x) = 2x³ + ax² + 12x − 4 及 g(x) = bx³ + 9x² + x + 2 ,其中 a 和 b 均為常數。 若 f(x) − g(x) 可被 (x − 1)(x − 2) 整除,求 a 和 b 的值。
A. a = 1, b = 3
B. a = 3, b = 1
C. a = −1, b = −3
D. a = −3, b = −1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
設 k 為常數。若 x²⁰³² + x²⁰³¹ + k 可被 x − 1 整除,求 10²⁰³² + 10²⁰³¹ + 5 除以 9 的餘數。
A. 1
B. 3
C. 5
D. 7
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