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Question
If x25 + x24 is divided by (x + 1), the result is ______.
Options
49
1
0
–1
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Solution
If x25 + x24 is divided by (x + 1), the result is 0.
Explanation:
We know that, if f(x) is divided by x – a
Then remainder = f(a)
Let f(x) = x25 + x24 and f(x) is divided by x – (–1)
Then remainder = f(–1)
= (–1)25 + (–1)24
= –1 + 1
= 0
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