​Which of the following is a factor of the polynomial $$x^2-x-20$$ ?​

Correct option is B

Given:

Polynomial: $$x^2 - x - 20$$ 

Concept used:

We need to find two numbers that multiply to the constant term (-20) and add up to the coefficient of the middle term (-1).

Solution:

Constant term = -20

Coefficient of the middle term (x) = -1

Two numbers that multiply to -20 and add up to -1 

−5×4 = −20

−5+4 = −1 

The numbers -5 and 4 satisfy these conditions 

These numbers to factor the polynomial:

​$$x^2 - x - 20 = (x - 5)(x + 4)$$ 

​Polynomial: $$x^2 - x - 20$$ are (x − 5) and (x + 4) 

Thus, correct answer is (b ) x - 5