Question

When the factors of a trinomial are (x + p) and (x - q) then the coefficient of the x-term in the trinomial is:
A. The difference of p and -q
B. The product of p and -q
C. The quotient of p and -q
D. The sum of p and -q

Answer 1

If you are not sure, the easiest way to see this is to just multiply out what you have:
\((x+p)(x-q) = x^2-qx+px-pq\)
Group the 2-terms together and factor out the x

Answer 2

the two-x terms*

Answer 3

how would you do that?

Answer 4

\(x^2+x(-q+p)-pq \) or just slightly different: \(x^2+(p-q)x-pq\)

Answer 5

ah, so would it be d?

Answer 6

yes

Answer 7

Thank you so much!

Answer 8

:)

Answer 9

Wait would you do the same thing for this one?
When the factors of a trinomial are (x + p) and (x + q) then the constant term of the trinomial is:
A. The difference of p and q
B. The sum of p and q
C. The quotient of p and q
D. The product of p and q