Question

How do you factor the trinomial `j^2+22j+40`?

Answer 1

`j^2+22j+40 = color(green)((j+2)(j+20))`

Explanation:

[Note: I edited the question to make it "22j" instead of just "22"; hope this was what was intended].

`(j+a)(j+b)=j^2+(a+b)j+ab`

So in order to write `j^2+22j+40` as the product of two binomials,
we want to find values `a` and `b` such that
`a+b=22` and `axxb=40`