Answer
Factors are
$(4s+10)(s+1)$ and $ (s+2)(4s+5)$.
Work Step by Step
The given expression is
$4s^2+\_s+10$
The standard form of the trinomial is
$ax^2+bx+c$
Where, $a=4,c=10$ and $b=?$.
Multiply $a$ and $c$.
$ac=4\times 10=40$
Two possible factors are $4\times 10$ and $8\times 5$.
So the values of $b$ are $4+10=14$ and $8+5=13$.
The first trinomial is
$\Rightarrow 4s^2+14s+10$
Factor.
$\Rightarrow (4s+10)(s+1)$.
The second trinomial is
$\Rightarrow 4s^2+13s+10$
Factor.
$\Rightarrow (s+2)(4s+5)$.
