The reason why the expression x² + (p + q)x + pq leads to the need to determine integers that add to b and have a product c is because they follow the FOIL Technique
We want to explain why x² + (p + q)x + pq leads to the need to determine integers that add to b and have a product c.
Now, using the FOIL Technique we can say that the factors are;
(x + p)(x + q)
Expanding this gives;
x² + px + qx + pq
⇒ x² + (p + q)x + pq
Now, applying that to the trinomial; x² + 6x + 8, we can say that;  Â
p + q = 6, and pq = 8
Thus, solving simultaneously gives;
p = 2 and q = 6.
Thus;
x² + 6x + 8 = (x + 2)(x + 6)
Read more about Factorization of Quadratic Equations at; https://brainly.com/question/1214333
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