When the factors of a trinomial are (x-p) and (x-q) then the constant term of the trinomial is:

A. The quotient of - p and - q

B. The sum of - p and - q

C. The difference of - p and - q

D. The product of - p and - q

D. The trinomial in its extended form would be xsquared - (q*x) - (p*x) + (p*q). The only term in that extended form that does not contain the variable x is "p*q"

For this case, the trinomial sought is the following:

(x-p) * (x-q)

Rewriting we have:

x^2 - qx-px + ( - p) * ( - q)

x^2 - x (q + p) + ( - p) * ( - q)

Where we observe that the constant term is the one that does not depend on x

(-p) * ( - q)

answer

D. The product of - p and - q