Answer
$(x+7)(x-6)$
Work Step by Step
The 2 numbers whose product is $ac=
1(-42)=-15
$ and whose sum is $b=
1
$ are $\left\{
7, -6
\right\}.$ Using these two numbers to decompose the middle term of the given trinomial, $
x^2+x-42
,$ then the factored form is
\begin{array}{l}
x^2+7x-6x-42
\\\\=
(x^2+7x)-(6x+42)
\\\\=
x(x+7)-6(x+7)
\\\\=
(x+7)(x-6)
.\end{array}