When the factors of a trinomial are x-p and x-q then the coefficient of the x term in the trinomial a. the quotient of -p and -q. b. the difference of -p and -q. c. the sum of -p and -q. d. the product of -p and -q

The coefficient of the x term in the trinomial is (pq). Therefore, the correct option is d) the product of -p and -q and this can be determined by forming the trinomial using given data.

Given :

The factors of a trinomial are x-p and x-q.

The following steps can be used to determine the coefficient of the x term in the trinomial:

Step 1 - For this case, the trinomial sought is the following:

Step 2 - Further simplify the above equation.

The coefficient of the x term in the trinomial is (pq). Therefore, the correct option is d) the product of -p and -q.

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choice c.

Step-by-step explanation:

If you FOIL this out, this is what you get:

We need only concentrate on the x-terms, so we will ignore the first and the last ones.  That leaves us with:

-qx - px

If we factor out the common x, we have:

x(-q - p), which can be rewritten as:

x(-q + -p), which is the sum of -q and -p,

choice c.