- #1
kaliprasad
Gold Member
MHB
- 1,335
- 0
Show that if a polinomial $P(x)$ with integer coefficients takes the value 7 for four different integer values of x then there is no integer x for which $P(x) = 14$
kaliprasad said:Show that if a polinomial $P(x)$ with integer coefficients takes the value 7 for four different integer values of x then there is no integer x for which $P(x) = 14$
The number 14 represents the desired outcome or solution for the function P(x). In this case, it is the value that we are trying to find an integer for.
In order to solve this equation, we need to have four integer values of P(x) given. This is because we are trying to find an integer that will make the function equal to 14, and we need enough information to determine the missing value.
It is possible that there could be multiple integer values of x that make the function P(x) equal to 14. However, in this case, we are given four integer values of P(x) that only result in a solution of 7, making it unlikely that there are other integer solutions.
There is no specific formula or method for finding the integer solution in this case. It may require some trial and error or algebraic manipulation to determine the missing value of x that will make the function equal to 14.
No, this equation specifically states that we are looking for an integer value of x that will make the function P(x) equal to 14. Non-integer values would not satisfy this requirement.