The expression g(x) has the same remainder constant k when divided by

(x-a) or (x-b). Determine, with reasons, whether it is always true that g(x) also has reminder constant k when divided by (x-a)(x-b), k not equal to 0.

Thanks!!

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- July 19th 2007, 12:27 AMacc100jtQuestion on Remainder Theorem
The expression g(x) has the same remainder constant k when divided by

(x-a) or (x-b). Determine, with reasons, whether it is always true that g(x) also has reminder constant k when divided by (x-a)(x-b), k not equal to 0.

Thanks!! - July 19th 2007, 01:00 AMred_dog
We have

Then