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kobusy [5.1K]
3 years ago
11

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

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

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).

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