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The answer is indeterminate because the degree of f(x) is not specified.

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Q: When f(x) is divided by x-1 and x plus 2 the remainders are 4 and -2 respectively. Hence find the remainder when f(x) is divided by x2 plus x-2?
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How many possible remainders are there when 23 is the divisor?

For numbers 0-23 , the remainder will range from 23-0 . After 23 , the same range of remainders will repeat. Hence , when 23 is the divisor , there are 24 possible remainders , 0-23.


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75 ends (least significant digit) in 5 which is an odd number, hence the entire number 75 is odd. Also if you divide 75 by 2 you get a quotient of 37 and a remainder of 1. When a number is divided by 2 and you do not get a remainder of 0, the number is odd, otherwise it is even.


What is the number less than 75 that divides exactly by 7 but leaves remainder 1 when divided by 11?

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