Question

How do you factor `x^ { 2} + 10x + 25`?

Answer 1

`x^2+10x+25` = `(x+5)^2`

Explanation:

Find two numbers that add up to +10 and multiply to +25

To do this we can write multiples of +25

1,25
5,5
-1,-25
-5,-5

There is only one set here that adds to +10, which is 5,5

Therefore, we get `(x+5)(x+5)` or `(x+5)^2`