Question

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

Answer 1

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"

Answer 2

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