Question

What is the factorization of the polynomial below 2x^2+20x+50

Answer 1

`2x^2+20x+50`

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

find two numbers than sum to 10 and multiply to 25:

5 + 5 = 10

5 * 5 = 25

so the factorization is:

`2(x+5)(x+5)\\\\= 2(x+5)^2`