When using the inspection method to rewrite the rational expression x^2-10x+14/x-8 , what constant term must the numerator have for to be one of its factors? what number must you add to (and subtract from) the numerator's constant term to derive (x-8) as a factor? for the numerator to have (x-8) as a factor, its constant term must be . to get this number, add and subtract from the numerator’s constant term.

General idea:

When we factor a trinomial of the form , we need two numbers m and n to write it as product of two binomials like, where .

In order to get two numbers we need to list the factor pairs of c and see which two factors add up to give b.

Applying the concept:

We need to make alterations to the constant term in such a way that below equation is true.

Conclusion:

Right now the numerator is , we need to add 2 to the constant of the numerator expression to get .

For the numerator to have (x-8) as a factor, its constant term must be 16 .

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol