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A village in the north east in India is suffering from flood. A merchant decided to help them with food items etc. So he collected some money from different persons which is represented by x4+x3+8x2+ax+b. If the number of persons who contributed for this service are x2+1 find the value of a and b plz answer this ?
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A village in the north east in India is suffering from flood. A mercha...
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A village in the north east in India is suffering from flood. A mercha...
Solution:

Given, the money collected by the merchant is represented by x4 x3 8x2 ax b.

Let the number of persons who contributed for this service be x2 1.

We know that the sum of the roots of a polynomial equation is given by -b/a, where a and b are the coefficients of the first and second degree terms respectively.

Therefore, the sum of the roots of the polynomial x4 x3 8x2 ax b is -(-8)/1 = 8.

We also know that the sum of the roots of a polynomial equation is equal to the number of persons who contributed for the service.

Hence, x2 1 = 8

Solving this equation, we get x = 3.

Therefore, there were 3 persons who contributed for this service.

Now, we can find the value of a and b by using the other given information.

The polynomial can be written as x4 + x3 + 8x2 + ax + b.

We know that the sum of the coefficients of a polynomial is equal to the value of the polynomial when x = 1.

Hence, (1 + 1 + 8 + a + b) = (x4 + x3 + 8x2 + ax + b) when x = 1.

Simplifying this, we get 10 + a + b = 1 + 1 + 8 + a + b.

Therefore, a = 0 and b = 2.

Hence, the value of a is 0 and the value of b is 2.
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A village in the north east in India is suffering from flood. A merchant decided to help them with food items etc. So he collected some money from different persons which is represented by x4+x3+8x2+ax+b. If the number of persons who contributed for this service are x2+1 find the value of a and b plz answer this ?
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A village in the north east in India is suffering from flood. A merchant decided to help them with food items etc. So he collected some money from different persons which is represented by x4+x3+8x2+ax+b. If the number of persons who contributed for this service are x2+1 find the value of a and b plz answer this ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A village in the north east in India is suffering from flood. A merchant decided to help them with food items etc. So he collected some money from different persons which is represented by x4+x3+8x2+ax+b. If the number of persons who contributed for this service are x2+1 find the value of a and b plz answer this ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A village in the north east in India is suffering from flood. A merchant decided to help them with food items etc. So he collected some money from different persons which is represented by x4+x3+8x2+ax+b. If the number of persons who contributed for this service are x2+1 find the value of a and b plz answer this ?.
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