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Lesson: 3.4 余式定理 Remainder Theorem – 练习题
1. Calculate the remainder when is divided by .

2. Given that and have the same remainder when divided by , find the possible values of a.

3. The expression leaves a remainder of and when divided by and respectively. Calculate the value of a and b.

4. The expression leaves a remainder of k when divided by and a remainder of when divided by . Show that .

5. A polynomial has a remainder 15 when divided by , and 9 when divided by . Find the remainder when is divided by .

6. If deg , and f (x) is divided by, , , the remainders are , and respectively. Find .

7. where are constants. If satisfy the following conditions:

(i) when divided by , obtain the remainder ,

(ii) when divided by , we obtain the remainder .

Find the values of , and .
, 的值.

8. When the polynomial is divided by , , the remainder is and respectively. Find the remainder when is divided by .

(1) 13

(2) 1, 2

(3) 1, –5

(5) 2x + 13

(6)

(7) 1, 1, –7

(8)

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