Solution:
Given:
[tex]x^2+5x-14[/tex]Using the product-sum to factor the expression, the middle term is split;
[tex]\begin{gathered} x^2+7x-2x-14 \\ \\ Grouping\text{ the terms;} \\ (x^2+7x)(-2x-14) \\ \\ Factor\text{ out the terms;} \\ x(x+7)-2(x+7) \\ =(x-2)(x+7) \end{gathered}[/tex]Therefore, the factored term is;
[tex](x-2)(x+7)[/tex]
