Question

2w^2+11w+5
factor

Answer 1

(2w+1)(w+5)=2w^2 +10w +w +5 =2w^2 +11w +5

Answer 2

Easy way:
1) Find roots of 2w^2+11w+5 = 0 => w1 = -½, w2 = -5
2) Answer is: 2(w-w1)(w-w2) <=> 2(w+½)(w+5) <=> (2w+1)(w+5)

Hard way:
2w^2+11w+5 = 2w^2+w+10w+5 = (2w+1)(w+5)