Hey anyone please answer the question
A village in India is suffering from flood. Mr singh from New Delhi decided to help them with food, clothes etc. So he collected some amount from different persons which is represented by x^4+2x^3+8x^2+12x+18. If there are X^2+5 number of persons who received this help and px+q is the amount left with Mr.Singh,find the value of p and q
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Step-by-step explanation:
some money from different persons, which is represented by x
4
+x
3
+8x
2
+ax+b. If the number of persons contributed for this service are x
2
+1, find the value of a and b.
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ANSWER
From the given data:
Total money is x
4
+x
3
+8x
2
+ax+b
Each person service is x
2
+1
Lets consider number of persons are x
2
+cx+d
Now apply division algorithm,
x
4
+x
3
+8x
2
+ax+b=(x
2
+1)(x
2
+cx+d)
x
4
+x
3
+8x
2
+ax+b=x
4
+cx
3
+dx
2
+x
2
+cx+d
Then, equate the coefficients of the Various power of x
We get,
c=1
d=7
Also, a=c=1 and b=d=7
∴ Number of persons are x
2
+x+7
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