Question

Which binomial is a factor of w^2-w-20

Answer 1

Answer:

From the given options, option D is the only choice that contains (w-5).

Step-by-step explanation:

Given the expression

$w^2-w-20$

Breaking the expression into groups

$=\left(w^2+4w\right)+\left(-5w-20\right)$

Factor out 'w' form w²+4w = w(w+4)

Factor out 'w' from -5w-20= -5(w+4)

so

$=w\left(w+4\right)-5\left(w+4\right)$

Factor out common term: w+4

$=\left(w+4\right)\left(w-5\right)$

Thus, the factors are: (w+4) and (w-5)

Therefore, from the given options, option D is the only choice that contains (w-5).