Simplify (5x^2+25x+20)/(7x)

Factor ${\displaystyle 5}$ out of ${\displaystyle 5x^2}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 25x}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 20}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5x^2+5\left(5x\right)}$.

Factor ${\displaystyle 5}$ out of ${\displaystyle 5(x^2+5x)+5\cdot 4}$.

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle 4}$ and whose sum is ${\displaystyle 5}$.

Write the factored form using these integers.