Answer:
From the given options, option D is the only choice that contains (w-5).
Step-by-step explanation:
Given the expression
[tex]w^2-w-20[/tex]
Breaking the expression into groups
[tex]=\left(w^2+4w\right)+\left(-5w-20\right)[/tex]
Factor out 'w' form w²+4w = w(w+4)
Factor out 'w' from -5w-20= -5(w+4)
so
[tex]=w\left(w+4\right)-5\left(w+4\right)[/tex]
Factor out common term: w+4
[tex]=\left(w+4\right)\left(w-5\right)[/tex]
Thus, the factors are: (w+4) and (w-5)
Therefore, from the given options, option D is the only choice that contains (w-5).
