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If x^100+100 divided by x+1,then find the remainder.?
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If x^100+100 divided by x+1,then find the remainder.?
Remainder when x^100 is divided by x-1
Method 1: Using the Remainder Theorem
The Remainder Theorem states that if a polynomial f(x) is divided by (x-a), then the remainder is f(a).
In this case, we need to find the remainder when x^100 is divided by x-1. Using the Remainder Theorem:
- Let f(x) = x^100
- Let a = 1
- The remainder when f(x) is divided by (x-1) is f(1) = 1^100 = 1
Method 2: Long Division
We can also use long division to find the remainder when x^100 is divided by x-1:
1 0 0 0 0 0 ... 0
x - 1 | 1 0 0 0 0 0 ... 0 0
|-----------------
| 1
|-----------
1 0
x - 1 |
|-----------
1 0 0
x - 1 |
|-----------
1 0 0 0
x - 1 |
|-----------
1 0 0 0 0
x - 1 |
|-----------
...
...
...
|-----------
1
So the remainder when x^100 is divided by x-1 is 1.
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If x^100+100 divided by x+1,then find the remainder.?
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If x^100+100 divided by x+1,then find the remainder.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x^100+100 divided by x+1,then find the remainder.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x^100+100 divided by x+1,then find the remainder.?.
If x^100+100 divided by x+1,then find the remainder.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x^100+100 divided by x+1,then find the remainder.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x^100+100 divided by x+1,then find the remainder.?.
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