Question

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​

Answer 1

Answer:

a=1 b=7

Step-by-step explanation:

Total amount of money = x²+x³+8x²+ax+b

Each person donated = x²+1

Now, let us assume that

The number of persons be x²+cx+d

According to division logarithm,

we take,

x²+x³+8x²+ax+b = ( x²+1 ) ( x²+cx+d )

x²+x³+8x²+ax+b = x4 + cx³+ dx²+x²+cx+d

Now, equate the coefficients on both the sides on various powers of x,

we get,

c=1;

b=7;

a=c=1;

b=d=7;

Therefore,

The value of a is 1 and b is 7.