Question

The Prime Minister’s Citizen Assistance and Relief in Emergency Situations Fund was created on

28 March 2020, following the COVID-19 pandemic in India. The fund will be used for combating,

and containment and relief efforts against the coronavirus outbreak and similar pandemic like

situations in the future. The allotment officer is trying to come up with a method to calculate fair

division of funds across various affected families so that the fund amount and amount received

per family can be easily adjusted based on daily revised numbers. The total fund allotted for a

village is x3+ 6x2+ 20x + 9. The officer has divided the fund equally among families of the village

and each family receives an amount of x2+ 2x + 2. After distribution, some amount is left.
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Answer 1

Answer:

-6

Step-by-step explanation:

So we have to calculate the amount left

Lets take the total funds allotted as p(x) = x³+ 6x²+ 20x + 9.

Each family receives as g(x) = x²+ 2x + 2.

Now we have to use the remainder that states that the zero of g(x) if taken as value of x in p(x) after solving gives the remainder

By trial and error we find zero of g(x) = -1

Inserting -1 as value of x in p(x)

p(-1) = (-1)³+6(-1) ² + 20(-1)+9

= -1 +6 -20 + 9

=-21+15

=  -6

So the amount left is -6