#### Answer

$(x+9)(x-7)$

#### Work Step by Step

The given expression, $
2x-63+x^2
,$ is equivalent to $
x^2+2x-63.$
Using the factoring of trinomials in the form $x^2+bx+c,$ the value of $c$ is $
-63
$ and the value of $b$ is $
2
.$ The two numbers that have a product of $c$ and a sum of $b$ are $
\{9,-7\}
.$ Hence, the factored form of the expression above is
\begin{array}{l}\require{cancel}
(x+9)(x-7)
.\end{array}