To solve polynomial functions to find x, you can use the substitution method, the factoring method, or the quadratic formula. The method used will depend on the type of polynomial and the given information.
In this context, "0<|x|≤1/2" means that the absolute value of x is greater than 0 and less than or equal to 1/2. This is used to specify the range of values that x can take in the polynomial function.
The substitution method involves replacing the variable in the polynomial function with a known value and then solving for the remaining variable. This method is useful when there is a single variable in the polynomial function.
The factoring method is most useful when the polynomial function can be written as a product of two or more simpler expressions. This method is helpful when the polynomial has multiple terms and can also be used to find the zeros of the function.
The solution to a polynomial function is valid if it satisfies the given equation and falls within the specified range of values for the variable. You can check the validity of the solution by substituting it back into the original equation and ensuring that it equals the given value.