is a -degree polynomial such that and
If the value of can be expressed as for coprime positive integers and , find the value of .
is a polynomial with integer coefficients. We have,
Determine .
Given that is a monic fifth-degree polynomial such that
find the value of .
Roopesh went to his friends house. There he ate a lot of Ice-cream. First he started with Vanilla then Chocolate then Vanilla then Butterscotch then Vanilla. He is a mathematician and made a monic polynomial of degree 5 which gave him values of the first letter of the Ice Cream.
This is the way his polynomial proceeded :-
If the value of . The first letter of the ice cream he eats would be . Which ice cream will be eat next?
Assumption: represents a 3 digit number.
Let be a 5th degree monic polynomial such that it satisfies the equations above. Find the value of .