Here, you will practice factoring trinomials of the form
$\,x^2 + bx + c\,$,
where $\,b\,$ and $\,c\,$ are integers,
and $\,c\gt 0\,$.
That is, the constant term is positive.
Recall that the integers are: $\,\ldots,3,2,1,0,1,2,3,\ldots$
As discussed in Basic Concepts Involved in Factoring Trinomials,
you must first find two numbers that add to $\,b\,$ and that multiply to $\,c\,$, since then:
$$
\,
\cssId{s10}{x^2 + bx + c} \ \
\cssId{s11}{=\ \ x^2 + (\overset{=\ b}{\overbrace{f+g}})x + \overset{=\ c}{\overbrace{\ fg\ }}} \ \
\cssId{s12}{=\ \ (x + f)(x + g)}
$$
Since $\,c\,$ is positive in this exercise,
both numbers will be positive, or both numbers will be negative.
(How can two numbers multiply to give a positive result?
They must both be positive, or they must both be negative.)
That is, both numbers will have the same sign.
When you add numbers that have the same sign,
then in your head you actually do an addition problem.
For example, to mentally add $\,(5) + (3)\,$,
in your head you would compute $\,5 + 3\,$,
and then assign a negative sign to your answer.
The sign of $\,b\,$ (the coefficient of the $\,x\,$ term) determines the common sign of your numbers.
If $\,b\gt 0\,$, then both numbers will be positive.
If $\,b\lt 0\,$, then both numbers will be negative.
These results are summarized below:
CONCEPT QUESTIONS EXERCISE:
On this exercise, you will not key in your answer.However, you can check to see if your answer is correct. 
PROBLEM TYPES:
