Answer
$$(x - 11)(x - 7)$$
Work Step by Step
To factor this polynomial, we want to see the combinations of factors for $77$ that will add up to $-18$, the coefficient for the middle term:
The factors for $77$ are:
$77$ and $1$ or $-77$ and $-1$
$11$ and $7$ or $-11$ and $-7$
The factors $-11$ and $-7$ will work in this case because when added up, they equal $-18$:
$$(x - 11)(x - 7)$$
