Question

During the time of flood in some parts of Bihar and Odihsa, a group of students decided to help them with clothes, food items, medicines, etc. So, this group collected some amount of rupees from the various sources which is represented by ax²+ 2x² – 3x³ + bx – 4. If number of students is represented by x – 4, then find the values of a and b.​

Answer 1

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Answer 2

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