Answer
$$(x+7)(x-2)$$
Work Step by Step
$Factor$ $the$ $expression$ $completely:$
$x^2+5x-14$
Factor [Note: We notice that there is a plus then a minus, so we must have an addition parenthesis times a subtraction parenthesis]
$$(x+7)(x-2)$$
Check:
Use the FOIL Method for $(x+7)(x-2)$
$x\times x = x^2$
$x\times -2 = -2x$
$7\times x = 7x$
$7\times -2 = -14$
$x^2-2x+7x-14 = x^2+5x-14$