Answer
$(x-9)(x-17)$
Work Step by Step
We need to factor:
$x^2-26x+153$
The first term in each binomial must be $x$, since $x^2$ has no coefficient.
The operation in each binomial is subtraction since the last term in the trinomial is positive and the second is negative.
Since $-9-17=-26$ and $(-9)(-17)=153$, the other two terms are $ -9$ and $-17$.
Thus, we have:
$x^2-26x+153=(x-9)(x-17)$
