Verified answer

-2w^2 + 3w + 1 => as written this is not factorisable.

2w² + 3w + 1

= 2w² + 2w + w + 1

= 2w(w + 1) + (w + 1)

= (w + 1)(2w + 1)

-1(-2w^2+3w+1)= 2w^2-3w-1

a=2 b=-3 c=-1

3+/- sq rt -3^2-4(2)(-1)/4

x=3+/- sq rt 9+8/4

x=3+/- sq rt 17/ 4

x=3+ sq rt 17/ 4 3- sq rt 17/ 4

(2w+1)(w+1)