Concept:Two quadratic equations with the same roots have equal corresponding coefficients when both are monic. Use Vieta’s formula for the sum of roots.Explanation:The first equation is x2−5x+6=0.This factors as (x−2)(x−3)=0, so its roots are 2 and 3.For the second equation to have these same roots, it must be quadratic: x2+px+6=0.In a quadratic x2+px+q=0, the sum of the roots is −p.The sum of the common roots is 2+3=5.Therefore, −p=5.Solving gives p=−5.Answer:p=−5, which is option C.