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 sum of p and qB. The product of p and q C. The difference of p and qD. The quotient of p and q

Answer 1

A. The sum of p and q

Explanation:

Given a trinomial whose factors are: (x+p) and (x+q).

To find the coefficient of x in the trinomial, we find the product of the factors as shown below:

`\begin{gathered} (x+p)(x+q)=x^2+qx+px+pq \\ =x^2+(p+q)x+pq \end{gathered}`

As can be seen in the expansion above, the coefficient of the x term in the trinomial is the sum of p and q.

Option A is correct.